{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# FINC4012 Project"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import the library and data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.tsa.api as smt\n",
    "import statsmodels.api as sm\n",
    "import scipy.stats as scs\n",
    "from arch import arch_model\n",
    "from arch.unitroot import ADF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot the graph\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, import the data with YTM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-10</td>\n",
       "      <td>414.54</td>\n",
       "      <td>0.034871</td>\n",
       "      <td>6.599510</td>\n",
       "      <td>0.835825</td>\n",
       "      <td>0.034687</td>\n",
       "      <td>130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-13</td>\n",
       "      <td>413.87</td>\n",
       "      <td>0.035158</td>\n",
       "      <td>6.595612</td>\n",
       "      <td>0.836458</td>\n",
       "      <td>0.034978</td>\n",
       "      <td>131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-14</td>\n",
       "      <td>414.04</td>\n",
       "      <td>0.035210</td>\n",
       "      <td>6.595863</td>\n",
       "      <td>0.837464</td>\n",
       "      <td>0.035040</td>\n",
       "      <td>132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-15</td>\n",
       "      <td>416.36</td>\n",
       "      <td>0.034411</td>\n",
       "      <td>6.607058</td>\n",
       "      <td>0.839528</td>\n",
       "      <td>0.034221</td>\n",
       "      <td>132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-16</td>\n",
       "      <td>416.09</td>\n",
       "      <td>0.034475</td>\n",
       "      <td>6.609571</td>\n",
       "      <td>0.837917</td>\n",
       "      <td>0.034274</td>\n",
       "      <td>131</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS\n",
       "0 2017-03-10  414.54  0.034871  6.599510   0.835825  0.034687  130\n",
       "1 2017-03-13  413.87  0.035158  6.595612   0.836458  0.034978  131\n",
       "2 2017-03-14  414.04  0.035210  6.595863   0.837464  0.035040  132\n",
       "3 2017-03-15  416.36  0.034411  6.607058   0.839528  0.034221  132\n",
       "4 2017-03-16  416.09  0.034475  6.609571   0.837917  0.034274  131"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "link = 'data/combine_data.xlsx'\n",
    "sp500 = pd.read_excel(link)\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure( figsize = [10,8])\n",
    "SP = plt.axes()\n",
    "SP2 = SP.twinx()\n",
    "# SP.plot(X, sp500_rm['price'], color = 'black', label = 'Price')\n",
    "SP.plot(X, sp500_rm['YTM'], label = 'YTM')\n",
    "SP2.plot(X, sp500_rm['price'], label = \"Price\", color = 'red')\n",
    "SP.set_xticks(xticks)\n",
    "SP.set_xticklabels(xticklabel[xticks], size = 10)\n",
    "plt.grid()\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "      <th>log_return</th>\n",
       "      <th>loss</th>\n",
       "      <th>VAR</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-10</td>\n",
       "      <td>414.54</td>\n",
       "      <td>0.034871</td>\n",
       "      <td>6.599510</td>\n",
       "      <td>0.835825</td>\n",
       "      <td>0.034687</td>\n",
       "      <td>130</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-13</td>\n",
       "      <td>413.87</td>\n",
       "      <td>0.035158</td>\n",
       "      <td>6.595612</td>\n",
       "      <td>0.836458</td>\n",
       "      <td>0.034978</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.001618</td>\n",
       "      <td>0.001618</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-14</td>\n",
       "      <td>414.04</td>\n",
       "      <td>0.035210</td>\n",
       "      <td>6.595863</td>\n",
       "      <td>0.837464</td>\n",
       "      <td>0.035040</td>\n",
       "      <td>132</td>\n",
       "      <td>0.000411</td>\n",
       "      <td>-0.000411</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-15</td>\n",
       "      <td>416.36</td>\n",
       "      <td>0.034411</td>\n",
       "      <td>6.607058</td>\n",
       "      <td>0.839528</td>\n",
       "      <td>0.034221</td>\n",
       "      <td>132</td>\n",
       "      <td>0.005588</td>\n",
       "      <td>-0.005588</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-16</td>\n",
       "      <td>416.09</td>\n",
       "      <td>0.034475</td>\n",
       "      <td>6.609571</td>\n",
       "      <td>0.837917</td>\n",
       "      <td>0.034274</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.000649</td>\n",
       "      <td>0.000649</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS  \\\n",
       "0 2017-03-10  414.54  0.034871  6.599510   0.835825  0.034687  130   \n",
       "1 2017-03-13  413.87  0.035158  6.595612   0.836458  0.034978  131   \n",
       "2 2017-03-14  414.04  0.035210  6.595863   0.837464  0.035040  132   \n",
       "3 2017-03-15  416.36  0.034411  6.607058   0.839528  0.034221  132   \n",
       "4 2017-03-16  416.09  0.034475  6.609571   0.837917  0.034274  131   \n",
       "\n",
       "   log_return      loss  VAR  \n",
       "0         NaN       NaN  NaN  \n",
       "1   -0.001618  0.001618  NaN  \n",
       "2    0.000411 -0.000411  NaN  \n",
       "3    0.005588 -0.005588  NaN  \n",
       "4   -0.000649  0.000649  NaN  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500['log_return'] = np.log(sp500.price / sp500['price'].shift(1))\n",
    "sp500['loss'] = -sp500['log_return']\n",
    "sp500['VAR'] = np.nan\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "metadata": {},
   "outputs": [],
   "source": [
    "# HS and WHS (Historial Simulation and Weighted HS)\n",
    "p = 1\n",
    "window = 250\n",
    "eta = 0.99\n",
    "weights = eta ** (np.arange(250,0,-1) - 1) * (1 - eta) / (1 - eta ** window)\n",
    "for i in range(window + 1, sp500.shape[0]):\n",
    "    datause = sp500.loc[i - window: i-1, 'log_return']\n",
    "    sp500.loc[i, 'VAR'] = -np.percentile(datause, p)\n",
    "    sp500.loc[i, 'VAR_WHS'] = np.sort( -datause)[np.min(np.where(weights[np.argsort(-datause)].cumsum() > 0.99))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "      <th>log_return</th>\n",
       "      <th>loss</th>\n",
       "      <th>VAR</th>\n",
       "      <th>VAR_WHS</th>\n",
       "      <th>sigma2</th>\n",
       "      <th>VAR_RM</th>\n",
       "      <th>VAR_HS</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2018-03-12</td>\n",
       "      <td>428.43</td>\n",
       "      <td>0.037829</td>\n",
       "      <td>6.810783</td>\n",
       "      <td>0.907084</td>\n",
       "      <td>0.037617</td>\n",
       "      <td>110</td>\n",
       "      <td>0.000841</td>\n",
       "      <td>-0.000841</td>\n",
       "      <td>0.004245</td>\n",
       "      <td>0.005136</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>0.015027</td>\n",
       "      <td>0.013423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2018-03-13</td>\n",
       "      <td>428.69</td>\n",
       "      <td>0.037813</td>\n",
       "      <td>6.829319</td>\n",
       "      <td>0.910477</td>\n",
       "      <td>0.037620</td>\n",
       "      <td>111</td>\n",
       "      <td>0.000607</td>\n",
       "      <td>-0.000607</td>\n",
       "      <td>0.004245</td>\n",
       "      <td>0.005136</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>0.014648</td>\n",
       "      <td>0.013423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2018-03-14</td>\n",
       "      <td>429.12</td>\n",
       "      <td>0.037782</td>\n",
       "      <td>6.838654</td>\n",
       "      <td>0.914316</td>\n",
       "      <td>0.037571</td>\n",
       "      <td>113</td>\n",
       "      <td>0.001003</td>\n",
       "      <td>-0.001003</td>\n",
       "      <td>0.004245</td>\n",
       "      <td>0.005136</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>0.014244</td>\n",
       "      <td>0.013423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2018-03-15</td>\n",
       "      <td>429.01</td>\n",
       "      <td>0.037919</td>\n",
       "      <td>6.837897</td>\n",
       "      <td>0.915226</td>\n",
       "      <td>0.037732</td>\n",
       "      <td>113</td>\n",
       "      <td>-0.000256</td>\n",
       "      <td>0.000256</td>\n",
       "      <td>0.004245</td>\n",
       "      <td>0.005136</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>0.013927</td>\n",
       "      <td>0.013423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2018-03-16</td>\n",
       "      <td>428.67</td>\n",
       "      <td>0.038071</td>\n",
       "      <td>6.834014</td>\n",
       "      <td>0.914697</td>\n",
       "      <td>0.037850</td>\n",
       "      <td>112</td>\n",
       "      <td>-0.000793</td>\n",
       "      <td>0.000793</td>\n",
       "      <td>0.004245</td>\n",
       "      <td>0.005136</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.013511</td>\n",
       "      <td>0.013423</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS  \\\n",
       "0 2018-03-12  428.43  0.037829  6.810783   0.907084  0.037617  110   \n",
       "1 2018-03-13  428.69  0.037813  6.829319   0.910477  0.037620  111   \n",
       "2 2018-03-14  429.12  0.037782  6.838654   0.914316  0.037571  113   \n",
       "3 2018-03-15  429.01  0.037919  6.837897   0.915226  0.037732  113   \n",
       "4 2018-03-16  428.67  0.038071  6.834014   0.914697  0.037850  112   \n",
       "\n",
       "   log_return      loss       VAR   VAR_WHS    sigma2    VAR_RM    VAR_HS  \n",
       "0    0.000841 -0.000841  0.004245  0.005136  0.000004  0.015027  0.013423  \n",
       "1    0.000607 -0.000607  0.004245  0.005136  0.000004  0.014648  0.013423  \n",
       "2    0.001003 -0.001003  0.004245  0.005136  0.000004  0.014244  0.013423  \n",
       "3   -0.000256  0.000256  0.004245  0.005136  0.000004  0.013927  0.013423  \n",
       "4   -0.000793  0.000793  0.004245  0.005136  0.000003  0.013511  0.013423  "
      ]
     },
     "execution_count": 152,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Draw the graph\n",
    "sp500_pic = sp500.loc[window+1:, :].copy()\n",
    "sp500_pic = sp500_pic.reset_index(drop = True)\n",
    "X = np.arange(sp500_pic.shape[0])\n",
    "xticklabel = sp500_pic.loc[:,'date'].apply(lambda x:str(x.year) + '-' +str(x.month) + '-' +str(x.day))\n",
    "xticks = np.arange(0, sp500_pic.shape[0] + 1, np.int((sp500_pic.shape[0] + 1) / 4))\n",
    "\n",
    "sp500_pic.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "SP = plt.axes()\n",
    "SP.plot(X, sp500_pic['loss'], color = 'red', label = 'Return')\n",
    "SP.plot(X, sp500_pic.VAR, color = 'black', label = 'VAR(HS)')\n",
    "SP.set_xticks(xticks)\n",
    "SP.set_xticklabels(xticklabel[xticks])\n",
    "plt.xlabel('Loss Date')\n",
    "plt.ylabel('HS VaR and Loss')\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Risk Metrics 風險矩陣法\n",
    "$\\large \n",
    "\\sigma^2_{PF, t+1} = 0.94 \\, \\sigma^2_{PF,t} + 0.06 \\, R^2_{PF,t}$\n",
    "\n",
    "假設 Index 的對數收益率服從正態分布，RM 方法是對於波對率的一種簡單估計方法，是 GARCH(1,1) 模型的一種特殊情況。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = 1\n",
    "window = 250\n",
    "eta = 0.99\n",
    "weights = eta ** (np.arange(250,0,-1) - 1) * (1 - eta) / (1 - eta ** window)\n",
    "sp500['sigma2'] = np.nan\n",
    "sp500.loc[0,'sigma2'] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(sp500.shape[0] - 2):\n",
    "    sp500.loc[i+1, 'sigma2'] = sp500.loc[i,'sigma2'] * 0.94 + 0.06 * sp500.loc[i,'log_return'] ** 2\n",
    "\n",
    "sp500['VAR_RM'] = -sp500['sigma2'] ** 0.5 * scs.norm(0,1).ppf(0.01) * np.sqrt(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "      <th>log_return</th>\n",
       "      <th>loss</th>\n",
       "      <th>VAR</th>\n",
       "      <th>VAR_WHS</th>\n",
       "      <th>sigma2</th>\n",
       "      <th>VAR_RM</th>\n",
       "      <th>VAR_HS</th>\n",
       "      <th>position_HS</th>\n",
       "      <th>position_WHS</th>\n",
       "      <th>position_RM</th>\n",
       "      <th>return_HS</th>\n",
       "      <th>return_WHS</th>\n",
       "      <th>return_RM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-10</td>\n",
       "      <td>414.54</td>\n",
       "      <td>0.034871</td>\n",
       "      <td>6.599510</td>\n",
       "      <td>0.835825</td>\n",
       "      <td>0.034687</td>\n",
       "      <td>130</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>inf</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-13</td>\n",
       "      <td>413.87</td>\n",
       "      <td>0.035158</td>\n",
       "      <td>6.595612</td>\n",
       "      <td>0.836458</td>\n",
       "      <td>0.034978</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.001618</td>\n",
       "      <td>0.001618</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>inf</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-14</td>\n",
       "      <td>414.04</td>\n",
       "      <td>0.035210</td>\n",
       "      <td>6.595863</td>\n",
       "      <td>0.837464</td>\n",
       "      <td>0.035040</td>\n",
       "      <td>132</td>\n",
       "      <td>0.000411</td>\n",
       "      <td>-0.000411</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.569894e-07</td>\n",
       "      <td>0.002915</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.430759e+08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.409208e+05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-15</td>\n",
       "      <td>416.36</td>\n",
       "      <td>0.034411</td>\n",
       "      <td>6.607058</td>\n",
       "      <td>0.839528</td>\n",
       "      <td>0.034221</td>\n",
       "      <td>132</td>\n",
       "      <td>0.005588</td>\n",
       "      <td>-0.005588</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.576892e-07</td>\n",
       "      <td>0.002921</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.423138e+08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.918095e+06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-16</td>\n",
       "      <td>416.09</td>\n",
       "      <td>0.034475</td>\n",
       "      <td>6.609571</td>\n",
       "      <td>0.837917</td>\n",
       "      <td>0.034274</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.000649</td>\n",
       "      <td>0.000649</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.021560e-06</td>\n",
       "      <td>0.010460</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.560531e+07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-6.199787e+04</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS  \\\n",
       "0 2017-03-10  414.54  0.034871  6.599510   0.835825  0.034687  130   \n",
       "1 2017-03-13  413.87  0.035158  6.595612   0.836458  0.034978  131   \n",
       "2 2017-03-14  414.04  0.035210  6.595863   0.837464  0.035040  132   \n",
       "3 2017-03-15  416.36  0.034411  6.607058   0.839528  0.034221  132   \n",
       "4 2017-03-16  416.09  0.034475  6.609571   0.837917  0.034274  131   \n",
       "\n",
       "   log_return      loss  VAR  VAR_WHS        sigma2    VAR_RM  VAR_HS  \\\n",
       "0    0.000000       NaN  NaN      NaN  0.000000e+00  0.000000     NaN   \n",
       "1   -0.001618  0.001618  NaN      NaN  0.000000e+00  0.000000     NaN   \n",
       "2    0.000411 -0.000411  NaN      NaN  1.569894e-07  0.002915     NaN   \n",
       "3    0.005588 -0.005588  NaN      NaN  1.576892e-07  0.002921     NaN   \n",
       "4   -0.000649  0.000649  NaN      NaN  2.021560e-06  0.010460     NaN   \n",
       "\n",
       "   position_HS  position_WHS   position_RM  return_HS  return_WHS  \\\n",
       "0          NaN           NaN           inf        NaN         NaN   \n",
       "1          NaN           NaN           inf        NaN         NaN   \n",
       "2          NaN           NaN  3.430759e+08        NaN         NaN   \n",
       "3          NaN           NaN  3.423138e+08        NaN         NaN   \n",
       "4          NaN           NaN  9.560531e+07        NaN         NaN   \n",
       "\n",
       "      return_RM  \n",
       "0           NaN  \n",
       "1          -inf  \n",
       "2  1.409208e+05  \n",
       "3  1.918095e+06  \n",
       "4 -6.199787e+04  "
      ]
     },
     "execution_count": 208,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for i in range(window + 1, sp500.shape[0]):\n",
    "    datause = sp500.loc[i - window: i - 1, 'log_return']\n",
    "    sp500.loc[i,'VAR_HS'] = - np.percentile(datause, p) * np.sqrt(10)\n",
    "    sp500.loc[i,'VAR_WHS'] = np.sort(-datause)[np.min(np.where(weights[np.argsort(-datause)].cumsum() > 0.99))] * np.sqrt(10)\n",
    "    \n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the poistion\n",
    "budget = 1000000\n",
    "sp500['position_HS'] = budget / sp500['VAR_HS']\n",
    "sp500['position_WHS'] = budget / sp500['VAR_WHS']\n",
    "sp500['position_RM'] = budget / sp500['VAR_RM']\n",
    "\n",
    "sp500['return_HS'] = (np.exp(sp500['log_return']) - 1) * sp500['position_HS']\n",
    "sp500['return_WHS'] = (np.exp(sp500['log_return']) - 1) * sp500['position_WHS']\n",
    "sp500['return_RM'] = (np.exp(sp500['log_return']) - 1) * sp500['position_RM']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 210,
   "metadata": {},
   "outputs": [],
   "source": [
    "sp500_rm = sp500.loc[window+1:, :].copy()\n",
    "sp500_rm = sp500_rm.reset_index(drop = True)\n",
    "sp500_rm['cum_HS'] = sp500['return_HS'].cumsum()\n",
    "sp500_rm['cum_WHS'] = sp500['return_WHS'].cumsum()\n",
    "sp500_rm['cum_RM'] = sp500['return_RM'].cumsum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 499 entries, 0 to 498\n",
      "Data columns (total 23 columns):\n",
      "date            499 non-null datetime64[ns]\n",
      "price           499 non-null float64\n",
      "YTM             499 non-null float64\n",
      "duration        499 non-null float64\n",
      "Convexity       499 non-null float64\n",
      "YTW             499 non-null float64\n",
      "OAS             499 non-null int64\n",
      "log_return      499 non-null float64\n",
      "loss            499 non-null float64\n",
      "VAR             499 non-null float64\n",
      "VAR_WHS         499 non-null float64\n",
      "sigma2          498 non-null float64\n",
      "VAR_RM          498 non-null float64\n",
      "VAR_HS          499 non-null float64\n",
      "position_HS     499 non-null float64\n",
      "position_WHS    499 non-null float64\n",
      "position_RM     498 non-null float64\n",
      "return_HS       499 non-null float64\n",
      "return_WHS      499 non-null float64\n",
      "return_RM       498 non-null float64\n",
      "cum_HS          250 non-null float64\n",
      "cum_WHS         248 non-null float64\n",
      "cum_RM          498 non-null float64\n",
      "dtypes: datetime64[ns](1), float64(21), int64(1)\n",
      "memory usage: 89.7 KB\n"
     ]
    }
   ],
   "source": [
    "sp500_rm.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CY4/BzJl2CZ/bjh3Qvn3JvaYKTMEnEREREREREalcnnvOBptmzoROneCuu+CFF2DuXHj77ex6X39tE4IPH55/Ox062ITktWrZWUyF9RcSAn//u32ekgLJyQo+uSj4JCIiIiIiIiKVR1QU/OtfcO+9ufM4PfWU3a3uhRfsUjzHgWXLbFn1ArISufM+9eljE4sXpE4d205UlG131y5bruAToOCTiIiIiIiIiFQWmZnwwAPQqBG88kruc9Wqwf33w+HDNvdTXBzs3w8jRxbcnnvHu4KW3OXUsyccPQoHD8LOnbmvr+KUcFxEREREREREKocZM2D9evjkE2jQ4MLzo0fbGUxffw2tWtmyq68uuL0ePexxyJCL9+2uGx1t8z0BXHqp52OvxBR8EhEREREREZGKLyHBLq0bMQLuuCP/OvXq2fNffWVnJXXuDK1bF9xmz56weXN2YKkw7jpbttiZTy1aQN263r+OSkjL7sqJqVOnMm3atPPPR40axX333Xf++WOPPcZrr71G9+7dc1333HPP8YprKuHatWvp378/oaGhdOnSheeee65Uxi4iIiIiIiJSpk6fhvHjwc/PJhk3puC648bZQNWyZYUvuXPr2bPw9twaNYKWLe3Mp507le8pB4+DT8aYS4wx4caYOGNMrDHmEVf5c8aYJGNMlOtnTI5r/s8Ys9MYs80YMypH+WhX2U5jzFM5ytsaY9a5yj8zxtR0lddyPd/pOh9ysT4qmsGDB7N69WoAsrKyOHLkCLGxsefPr169mkGDBhXaxsSJE5kxYwZRUVHExMRwyy23+HTMIiIiIiIiIuXCH/5gk31/8gm0bVt43euvt8GkrCzPgk/e6NEje+aTgk/neTPz6RzwmOM4XYEBwB+MMV1d5153HCfU9bMEwHXuNqAbMBp41xjjZ4zxA94BrgG6ArfnaOcfrrbaA8eB37rKfwscd5W/7qpXYB9evwvlwKBBg1izZg0AsbGxdO/encDAQI4fP86ZM2eIj4+nYcOGhbaRnJxMixYtAPDz86Nr166F1hcRERERERGp8BIS4KOP4IknYMyYi9dv3twmEK9RA4YOLdmx9OwJsbFw4ICCTzl4nPPJcZwDwAHX41RjTDzQqpBLxgLzHMc5A+w2xuwELned2+k4TgKAMWYeMNbV3nDAvTBzNvAcMN3V1nOu8i+At40xppA+1nj6usqLli1bUr16dfbu3cvq1asZOHAgSUlJrFmzhqCgIHr06EHNmjXZtWsXoaGh5687ePAgf/zjHwG7dK9Tp06EhYUxevRoJk6ciL+/f1m9JBERERERERHfi4qyxwkTPL/m5ZchPh4CAkp2LD16wNmz9rF2ujuvSAnHXcveegPrgMHAFGPM3cBG7Oyo49jA1NoclyWSHazal6e8P9AIOOE4zrl86rdyX+M4zjljzElX/cL6yDneycBkgGbNmhEREZHrfFBQEKmpqQA8Gf4kWw5vufib4CHHcejZtCf/GPaPi9bt168fP/zwAytWrGDKlCk0btyY8PBwgoKC6NevH2lpabRt25aVK1eev+bvf/87Z86cITU1lalTpzJ27FiWL1/Oxx9/zCeffMKSJUtK7LX4Snp6+gW/ExGAtLQ0fTZEikH3kEjR6f4RKTrdP1La2nzzDSHGsPLoUbK8+ex17Agl/Fmte+YM/VyPN544QZruBaAIwSdjTADwJfCo4zgpxpjpwAuA4zq+CtxboqMsJsdxZgAzAPr27euEhYXlOh8fH09gYCAANWvWxM+v5FbuZWZmUrNmzfPtFyYsLIzIyEi2bt1K//79OXnyJNOnT6devXpMmjSJgIAAqlWrlqutWrVqUatWrfNlvXr1olevXjz00EM0adKEjIwMGjVqVGKvxxf8/f3p3bt3WQ9DyqGIiAjy3q8i4jndQyJFp/tHpOh0/0ipe+staN+eIaNHl/VI7HK+Bx+EzEz63nqr3V1PvAs+GWNqYANPnzqOMx/AcZxDOc7PBBa5niYBl+S4PNhVRgHlR4H6xpjqrtlPOeu720o0xlQHglz1C+ujSKaNnnbxSl5ITU31KPAENu/TK6+8Qrt27fDz86Nhw4acOHGC2NhYZs6cSVpaWqHXL168mDFjxmCMYceOHfj5+VG/fv2SeBkiIiIiIiIi5dOWLTbXUnlQqxZ07gyHDyvwlIM3u90Z4AMg3nGc13KUt8hRbRwQ43q8ELjNtVNdW6ADsB7YAHRw7WxXE5swfKHjOA4QDrgXaU4EFuRoa6Lr8QRguat+QX1USD169ODIkSMMGDAgV1lQUBCNGze+6PUff/wxnTp1IjQ0lLvuuotPP/20RGdxiYiIiIiIiJSZlBSYMwcyM7PLTp2yO8v16FF248rrjjvg1lvLehTlijcznwYDdwFbjDGubF78CbtbXSh22d0e4AEAx3FijTGfA3HYnfL+4DhOJoAxZgrwHeAHfOg4TqyrvSeBecaYvwGR2GAXruPHroTix7ABq0L7qIj8/PxISUnJVTZr1qzzj0NCQoiJicl1/rnnnjv/eN68eb4cnoiIiIiIiEjZ+eIL+O1vITkZXBtvERcHjlO+gk9/+lNZj6Dc8Wa3u1WAyedUgRmtHcd5EXgxn/Il+V3n2gHv8nzK04GbvelDRERERERERCqRfa69y/7yFxgzBrp2hehoW1Zelt1JvjxediciIiIiIiIiUmaSkiAoCAIDYeJEOHvW5nuqUwfatSvr0UkhFHwSERERERERkfIvKckGmaZPh40b4Zln7Myn7t2hmsIb5ZlXu91VZo7jYHOqS2myeeNFRERERERELmL/fggOhgkT4P774eWX7e5yv/lNWY9MLkKhQcDf35+jR48qEFLKHMfh6NGj+Pv7l/VQREREREREpLxLSoKWLe3jN96wScbPnFG+pwpAM5+A4OBgEhMTOXz4cIm3nZ6eruBKIfz9/QkODi7rYYiIiIiIiEh5duYMHD4MrVrZ57Vrw+efwz33wKhRZTo0uTgFn4AaNWrQtm1bn7QdERFB7969fdK2iIiIiIiISJVw4IA9uoNPAJ07w9q1ZTMe8YqW3YmIiIiIiIhI+ZaUZI85g09SYSj4JCIiIiIiIiLlm4JPFZqCTyIiIiIiIiJSvu3fb4/uhONSoSj4JCIiIiIiIiLlW1IS1KoFDRuW9UikCBR8EhEREREREZHyLSnJLrkzpqxHIkWg4JOIiIiIiIiIlG/u4FMlsi5xHeM/H8/J9JNlPRSfU/BJRERERERERMq3pKRKk+/p2OljXPef6xjwwQB+/OVHYg/HlvWQfK56WQ9ARERERERERKRAjmMTjleSmU8zfp7B4h2LeXH4izzc/2ECagaU9ZB8TsEnERERERERESm/TpyA06crTfDp+4Tv6dmsJ3+68k9lPZRSo2V3IiIiIiIiIlJ+JSXZYzkLPj205CG+3fGtV9ecPnuaVXtXMaLtCB+NqnzSzCcRERERERERKb/KYfAp/nA8b294m4OnDnJNh2s8vu6nfT9xJvMMV7W7yoejK38080lEREREREREyi938KkUEo4nn0rmhRUvcCrjVKH1vtr6FQCRByK9av+HhB+oXq06Q9oMKfIYKyIFn0RERERERESk/IqNhVq1IDjY5129sfYNnol4hvu/uR/HcQqsNz9+PgC7ju8i5UyKx+1/v/t7BgYPrBJJxnNS8ElEREREREREyq8VK2DAAKhZ0+ddzd86n8CagcyNmcvra1/Pt84vJ37h5wM/n5+9FH0o2qO2j50+xs/7f65yS+5AwScRERERERERKa9OnoTISBg61OddxR+OZ+uRrbw04iXGdxnP48seZ/vR7RfUcy+5e2HYC4DnS++W7VqGg6Pgk4iIiIiIiIhIubF6NWRllUrwyb2UblyXcbw4/EWynCxW71udb72ezXpyZesraVKnCVEHoy7a9on0Ezzx/RNc2uBS+rXsV+JjL++0252IiIiIiIiIlE8rVkCNGnbZnY/N3zqfgcEDaRnYksy6mdSpUeeCwNKMn2ewcu9KXhj2AsYYQpuHEnWo8OCT4zj8bvHvSEpJ4qd7f6KGXw1fvoxySTOfRERERERERKR8+vFH6NcP6tTxaTd7Tuxh04FN3NTlJgD8qvnRo2kPNh/afL7OO+vf4YFFDzCmwxj+OOiPAIQ2DyUmOYazmWcLbPvTLZ8yL2Yefw37K/2D+/v0dZRXHgefjDGXGGPCjTFxxphYY8wjrvKGxphlxpgdrmMDV7kxxrxpjNlpjIk2xvTJ0dZEV/0dxpiJOcovM8ZscV3zpjHGFLUPEREREREREanATp2CDRtgyBCfd/VZzGcAjOs87nxZr2a9iDoYheM4JBxPYMq3U7ih0w3Mv2U+/tX9AejdvDcZmRnEH4nPt92DaQd5+NuHGXTJIJ664imfv47yypuZT+eAxxzH6QoMAP5gjOkKPAX84DhOB+AH13OAa4AOrp/JwHSwgSTgWaA/cDnwrDuY5Kpzf47rRrvKvepDRERERERERCq4NWvg3Dmf53s6l3WOdza8w7CQYVza8NLz5aHNQzmRfoJ9Kfv4dse3ALw68lVqVa+Vqw5QYN6nh759iF/P/sqHN3yIXzU/H76K8s3j4JPjOAccx9nkepwKxAOtgLHAbFe12cCNrsdjgTmOtRaob4xpAYwCljmOc8xxnOPAMmC061w9x3HWOo7jAHPytOVNHyIiIiIiIiJSka1cCdWqweDBRW5if+p+1uxbw+FTh7GhhgvNj5/PvpR9PDrg0VzlvZr3AmDzwc0s3bWUdg3a0b5h+1x1OjbqSO3qtVmzb80F7X699Wu+iPuCZ4c+S6fGnYr8GiqDIuV8MsaEAL2BdUAzx3EOuE4dBJq5HrcC9uW4LNFVVlh5Yj7lFKEPEREREREREanINm2CLl0gMLBIl+86tovOb3dm0IeDaPpKU66fe32+uZmmrZ3GpQ0u5doO1+Yq79G0BwbD+qT1hO8OZ9Sloy641q+aHxO6TmDGphnnZ0e5zd48mzZBbc7nh6rKvN7tzhgTAHwJPOo4ToorLRMAjuM4xpj8Q4klpCh9GGMmY5fl0axZMyIiInwxtHylpaWVan8ilYnuH5Hi0T0kUnS6f0SKTvePlJSBa9dyIjSU+CJ8njKyMngo8iGcLIdnujzDzrSd/GfHf7jx/Rv5Y8c/4o5lxKXEsSZxDVMuncLKH1de0E7L2i2Zvm46p86eotXpVvl+tm+vdzur66zm5s9u5t0+79K6TmsA1u9ZT8fAjvy08ievx1/ZeBV8MsbUwAaePnUcZ76r+JAxpoXjOAdcS96SXeVJwCU5Lg92lSUBYXnKI1zlwfnUL0ofuTiOMwOYAdC3b18nLCwsbxWfiYiIoDT7E6lMdP+IFI/uIZGi0/0jUnS6f6REHD4MR47QbPRomhXh8zR16VS2p23nq1u/4sbONnNPu+Xt+NvKvxHWPYzHBz8OwMcLPiagZgB/v/nvBNa6cIbVwMMD+SLuC6pXq87D1z+cbx2A5X2X03dGX+Yen8u3Y74l9Uwq+1fs5/cDf0/YEO/HX9l4s9udAT4A4h3HeS3HqYWAe8e6icCCHOV3u3akGwCcdC2d+w4YaYxp4Eo0PhL4znUuxRgzwNXX3Xna8qYPEREREREREamoolwJvHv39vrSVXtXMW3dNKb0m3I+8ATw/LDnuaHTDTz/4/OkZaRx5twZ5m+dz01dbiowqNSrmc37NPiSwQXWAWgd1Jpbut3Cqr2ryMzKJCY5BoCezXp6Pf7KyJucT4OBu4Dhxpgo188Y4GXgamPMDuAq13OAJUACsBOYCfwewHGcY8ALwAbXz/OuMlx13nddswtwL5j0qg8RERERERERqcAiI+0xNNSryzIyM3hg0QO0CWrDy1e9nOucMYYnBz9JWkYa82Lm8d2u7ziRfoLbut1WYHvu3ezyy/eU18DggaRlpBGTHEP0oWhAwSc3j5fdOY6zCjAFnB6RT30H+EMBbX0IfJhP+Uagez7lR73tQ0REREREREQqqMhIaN0aGjb06rJ//vRP4g7HsfiOxdStWfeC8wODB9KtSTdmbprJpQ0upVHtRlzV7qoC2wsLCWNir4nc3evui/Y96JJBAKzet5qY5Bjq1apH66DWXo2/sirSbnciIt/itTQAACAASURBVCIiIiIiIj4TFeX1kruN+zfywo8vcEu3WxjTYUy+dYwxTL5sMuuT1vNF3BdM6DqBGn41CmwzoGYAs26cRat6rS7af0j9EJoHNGd14mqik6Pp2azn+cTmVZ2CTyIiIiIiIiJSfpw6Bdu2ebXk7sivRxj/+XiaBzTnnTHvFFr3Nz1/Qy2/WpzNOstt3QtecuctYwyDLhnE6n2riT4UTc+mWnLnpuCTiIiIiIiIiJQf0dHgOB7PfHIch9u/vJ1DaYf48pYvaVyncaH1G9ZuyG96/oa29dtyZesrS2LE5w0MHkjC8QRSzqQo31MOHud8EhEREREREREpcY5jj+4lau5k4x4Gn2IPx/J9wve8cvUr9G3Z16Nr3r32XdLPpeNXzc/b0RbKnfcJlGw8JwWfRERERERERKTs3HknfP01XHopZGbaJXeNG8Mll3h0uXtnuZGXjvS4y5p+NanpV7NIwy1MnxZ9qOlXk4zMDLo3vWA/tSpLwScRERERERERKRuOA0uWQMeOdnc7gAkTYMyY7JlQFxF9KJoa1WrQqXEnHw7UM/7V/bmsxWUcOnWIwFqBZT2cckPBJxEREREREREpG3v2wMmT8Pvfw+TJRWoi+lA0XZp08clMpqJ4e8zbpGWklfUwyhUFn0RERERERESkbERF2aMXO9vlFX0omuFth5fQgIqvT4s+ZT2Ecke73YmIiIiIiIhI2YiMhGrVoEePi1bdfXw39y28j5PpJ8+XHf31KEmpSUruXc5p5pOIiIiIiIiIlI3ISOjcGWrXvmjVJTuW8EHkB5zLOsesG2cB2cnGFXwq3zTzSURERERERETKRlQU9O7tUdWk1CQAZm+ezddbvwYUfKooFHwSERERERERkdJ35AgkJnqc7ykpNYkWAS3o06IPk7+ZzMG0g0QfiqZJnSY0q9vMx4OV4lDwSURERERERERKnzvZuKczn1KSaFO/DR+P+5i0jDTunH8nkQcj6dmsJ8YYHw5UikvBJxEREREREREpfZGR9ujhzKfElESC6wXTtUlX3r32XZbvXn4++CTlm4JPIiIiIiIiIlL6oqLgkkugUSOPqielJtEqsBUA94Tew6TQSQD0aHrxnfKkbGm3OxEREREREREpXY4D69d7POsp5UwKaRlp54NPAG+PeZsujbswvut4X41SSohmPomIiIiIiIhI6YqKgp07YcwYj6onpdid7lrVyw4+1alRh8cHP069WvV8MkQpOQo+iYiIiIiIiEjp+vRTqF4dbr7Zo+pJqa7gU46ZT1JxKPgkIiIiIiIiIqUnMxPmzrWznjzM95SYkgjknvkkFYeCTyIiIiIiIkVx7hx8/jmkp5f1SEQqlogI2L8f7rzT40vOL7vTzKcKScEnERERERERbzkOPPII3HorfPJJWY9GpGL59FMIDITrr/f4kqTUJBrWbkjtGrV9ODDxFQWfRERERERE8nPiBGzalP+5N96Ad98FY+B//yvdcYlUZI4DX38N48ZBbc8DSUmpSZr1VIEp+CQiIiIiIpKff/4T+vWD1avt82XLoH17O2Nj6lT75XniRPj+e5vDRkQubt8+OH4cBg3y6rKklCTle6rAFHwSERERERHJz5YtkJUFd99tZ0DdfLPdnev+++Ff/7LL7UaPtl+kN24s69GKVAwxMfbYvbtXlyWmJGrmUwVWvawHICIiIiIiUi7Fx0OnTrB9O/TvDw0awHffQZs22XVGjMheete/f9mNVaSicAefunXz+JKzmWdJPpWs4FMF5vHMJ2PMh8aYZGNMTI6y54wxScaYKNfPmBzn/s8Ys9MYs80YMypH+WhX2U5jzFM5ytsaY9a5yj8zxtR0lddyPd/pOh9ysT5ERERERESKJT0ddu+2CcWfeAKqVYMvvsgdeAJo3Bguu0x5n0Q8FRMDwcFQv77HlxxIO4CDQ3C9YB8OTHzJm2V3s4DR+ZS/7jhOqOtnCYAxpitwG9DNdc27xhg/Y4wf8A5wDdAVuN1VF+AfrrbaA8eB37rKfwscd5W/7qpXYB9evB4REREREZH87dxpl9x17gwvvQTJyTBkSP51R42CNWvg5MnSHaNIRRQT4/WSu6SUJADlfKrAPA4+OY7zI3DMw+pjgXmO45xxHGc3sBO43PWz03GcBMdxMoB5wFhjjAGGA1+4rp8N3Jijrdmux18AI1z1C+pDRERERESkeOLj7bFzZ7usLiio4LojR9qE4+HhpTM2kYoqMxPi4rwPPqW6gk9adldhlUTC8SnGmGjXsrwGrrJWwL4cdRJdZQWVNwJOOI5zLk95rrZc50+66hfUloiIiIiISPFs3WqPnTpdvO6AARAQoKV3IhezaxecOeN18GnPiT0AWnZXgRU34fh04AXAcR1fBe4t7qBKmjFmMjAZoFmzZkRERJRa32lpaaXan0hlovtHpHh0D4kUne4f6bJiBUHNmrF2/XqP6nfv2ZO6Cxaw7pZbfDyy8k/3T8VW88gRzgUEkOXvX+JtN16xgu7AxvR00rz4jCyMXUgL/xZsWb+lxMckpaNYwSfHcQ65HxtjZgKLXE+TgEtyVA12lVFA+VGgvjGmumt2U8767rYSjTHVgSBX/cL6yDvOGcAMgL59+zphYWFevc7iiIiIoDT7E6lMdP+IFI/uIZGi0/0jPPYYhIZ6/jm4/XZ46CHCLrkELr3Up0Mr73T/VGCOAy1bwr33wosvlnz7K1aAMfS96y6oU8ejS7KcLGLXxzK281h9riqwYi27M8a0yPF0HODeCW8hcJtrp7q2QAdgPbAB6ODa2a4mNmH4QsdxHCAcmOC6fiKwIEdbE12PJwDLXfUL6kNERERERKTosrLssrvOnT2/ZuRIe9TSO6nIjhyBgwchNtY37cfE2OCsh4EngNjkWI6dPsbQNkN9MyYpFR7PfDLGzAXCgMbGmETgWSDMGBOKXXa3B3gAwHGcWGPM50AccA74g+M4ma52pgDfAX7Ah47juD/VTwLzjDF/AyKBD1zlHwAfG2N2YhOe33axPkRERERERIosMRF+/RW6dPH8mg4dICTEBp9+9zufDU3EpxIS7PGXX3zTfhF2uovYEwHA0BAFnyoyj4NPjuPcnk/xB/mUueu/CFwwT89xnCXAknzKE8hntzrHcdKBm73pQ0REREREpMjcyca9mflkjJ39NG8enD0LNWrYnb2io6F1a2jUyDdjFSlJvgw+7d8PO3bAhAkXr5vDil9W0CaoDSH1Q0p+TFJqSmK3OxERERERkcojPt4evQk+gQ0+paTAk0/CLbdA06bQp499LFIRuINPx4/bz3JJ+r//Az8/uOcejy9xHIcVv6wgLCSsZMcipU7BJxEREREREbekJJg9285UatrUu2uHDwd/f3j9dVi3Dq67Du6+G5Yvh40bfTNekZLkDj6B57OfsrIuXnf9epgzB6ZO9Sohf9zhOI78ekT5nioBBZ9EREREREQA1qyxM5W2b4eZM+1SOm80aABbttgA1i+/2CDWW29BvXrwr3/5ZswiJSkhAWrXto89DT794x8239lrr+V/PjkZHnoImjWDP//Zq+G48z1p5lPFp+CTiIiIiIhIVhZMmmR34Vq/HsaNK1o77dvbrerd6tWzCci/+AJ27SqZsYr4SkICXHGFfVxQ8OnVV2HECHvPOA588AHUqgWPPWZ/HMfWO33a3lOXXGLvqddeg8BAr4azfv96mgc0V76nSkDBJxERERERke+/h23b4PnnoWvXkm374YdtrpvXXy/ZdkVKUkYG7NsHAwbYYNKePfnXmzvXLiVduNDOFty1C959F6ZMsQGmL76w9V5/HWbNgt/+1uZRu+MOr4e06cAm+rTog/F2FqKUOwo+iYiIiIiIvPWWzfHki+TgLVvaHb7mzYNz50q+fZFnnoH77iteG7/8YmcttW9vd2jMb+ZTaipERtrHL71kl5bWqQM33wzTpkHPnjbh/oEDdjne9dfbwJS3yfuB02dPE384nj7N+xTvdUm5oOCTiIiIiIhUbQkJsHgxTJ5sZ3z4woQJcPQorFiRuzwjAw4d8k2fUnV89RUsWVK8NtzJxtu1gzZt8g8+rVtnl9vddJNdSvfRR/ZxYKCd3ffKK7B7N1x5pQ1U/f3vRR5OTHIMmU4mvVv0LnIbUn4o+CQiIiIiIlXbO+/YL84PPui7PkaPtjNEvvwyd/lLL0GXLnD2rO/6lsrt7Fm7ZPTgQRvMLKqcwaeQkPyDT6tWQbVq8N570Ly57fvuu7PPX301jBljl+LddRd0717k4Ww6sAmA3s0VfKoMFHwSEREREZGqITPzwjLHsTlsrr8eWrXyXd916tgv5fPn5x7HsmVw/Dhs3eq7vqVy27nTBoEcx+60WFQJCeDvb4NKbdrYGXmnT+eus2oV9OoFTZrYWU1hYTB8eO4606bB+PHwt78VfSxA5MFI6vvXV7LxSkLBJxERERERqfxSU21wKe8X4k2bbH6aG2/0/RjGj7df6Fevts/T02HDBvs4Ksr3/UvlFBub/Xjv3qK3k5AAbdvamU1t2lzY3rlzsHYtDB5sn0+aBOHhdtZgTh062KTjl1xS9LFgg0+9m/dWsvFKQsEnERERERGp/D77zAZ+nnvOBpzcFi0CY+Caa3w/hmuvtTml3Evvfv45e5mUgk9SVDmDT/v2Fb2dhAS75A6yg085l95t3gynTsEVVxS9Dw+dyzpH9KFoLbmrRBR8EhERERGRyu+DD+yMjKZN7YwNd9Bn0SK7tXyTJr4fQ2CgDXJ99pldJvXTT7a8XbvsHcREvBUba3dUhKLPfHKc3MGnkBB7zBl8WrXKHt0zn3xo65GtpJ9LV7LxSkTBJxERERERqdxiY+1yoQcftImSo6PhT3+yy+02brT5nkrLfffZxNALF9rgU8eOcNVVduaT43jezrlzMGuWzffjCytX2lxUUv7FxkLfvtCoUdGDT9u2QUoKdOtmn7dsaZfTuYNPWVl2xl5ICAQHl8iwCxN5wAZj+7To4/O+pHQo+CQiIiIiIpXbBx9AjRp2960bboDf/x5efRXuvNOev+660hvL6NHQujVMn26DT4MHQ2ioDfQUtmQqNRVGjbIBtP/+187WmjTJ7pZXVFFR0Lkz/OEPdkmVW3IyDB1qxyjlW0YGbN9ug0atWxd92d0339jjmDH2WL26nQU1fz4cOQJvvmkDkk8+WTLjzuPlVS8zfPZw7l94P/cuuJdnIp6hdvXadGrUySf9SelT8ElERERERCqvjAyYM8cmFHcvrXvzTRg71iZLbt26WNvBe83PDyZPhh9+gKNHbf6c3q6lRZGRdvbTgQMXXjd7Nvzvf/a13HKLnZHSpk3Rd8lzHHjsMUhMtMG50FD7fgCsWGHP799ftLal9OzYYWfBuYNPeWc+rV4N48bZOoX55hu7i13OJOHvvAO7d8OVV8JTT9kZgg88UPKvAXhz3ZtsSd7Cwu0LWbxjMe0btmfa6Gn4VfO7+MVSISj4JCIiIiIXd/y4/ZK8cmVZj0TEO2vW2CDPHXdkl/n5wdy5cPPNNgBT2rtp3XuvnVkCduZTjx52DFFR8M9/2mVNu3Zl18/Kgrffhssvt7NQli2D+Hg7i6qowadly2D5cnjxRUhKsvmo5s2z5yIi7PHw4SK/RCkl7mTj3brZwFHemU+ffw5ff51/QNPt2DE7Cy/v8tOrr7ZBqV9+gfr1bZDSB/fKobRDHEg7wJ+u+BOH/niIQ388xLK7ljH5sskl3peUneplPQARERERqQBefdV+OZk71/4veH5++skubbr88tIdm0hhfvjBbh0/bFju8tq17RfzstCiBYwfbxM4d+xov9B37Gi3p9+2zQabwsPh0ktt/e+/t+Vz5kCdOjZHFECnTjZwcOQING7sef9ZWXYmS0iIXcZXqxaMHAmLF9sZTwo+VRyxsfbz3bmznfl08qT9CQqy57dsscfk5NyzmnL69lv7mchv+elVV9ldGWvU8FlS/siDNr+TkotXbpr5JCIiIiIXOnjQLu2JirJfbN94w5avWJF//V9/tcuapk4tvTGK5HT6NCxdemHS7u+/h379sr+Mlxfvv2+ToLtnkoSGQkyMTRrdqFH2zmIAb71ld+m75ZbcbXTubI/ezn5autQu8XvhBRt4Aht4SEqyM6Li4myZgk/lX2ysDVL6+9vgE+Se/ZQz+FSQRYvs56tfv/zPd+kC7duXzHjzsenAJgBCm4f6rA8pewo+iYiIiMiFPvnEJjUeNgzuvx9OnbLJmuPi8v9COnu2DVLl3JZbpDRNnQrXXGM/t24pKbB+PYwYUXbjKkhAQO5dw9xf/D/4AIYMyQ4+7dljZyRNnpwdKHLr5ErGvG2bd31H2pkmjBuXXXbNNfboTijdq1fhAQspHzZssIFLyJ7Z5A4+HTqU/fe6oN/l2bM2GHnttXYGVRmIPBhJuwbtqO9fv0z6l9Kh4JOIiIiIXGjRIvs/3Y0a2Xwhd9xhl+fAhXmfMjPtsjywCYrPni3dsYqsXQv//rf98vzcc/YzCfDjj/axe5laefa739lA2ZgxNr/arl02T8/s2fb8/fdfeE2bNjYg5W3wads2G/iqWze7rFkzu2Q2KsqWjx5tc2VlZRX9NYlv7dljE4wPGWKfu2c+uZOOu2c9QcHBp6goOHHC/r7LSOSBSHo315K7yk7BJxERERHJ7fhxO+vi1lttoGnKFHj5Zejb1+bJybv07quv7Bfla67RDllS+s6ds4HRVq1g5kybiNudOPuHH+xypIEDy3aMnqhTJ3v20xVX2OPKlTbP0/Dh2YGFnPz8oEMH75fdbd9uc0zl5c75c8UV0LKlDdwdP+5d21J63Lm5wsLssUUL+5nIG3yqVq3g4NOaNfY4aJCvRlmok+kn2XV8l4JPVYCCTyIiIiKS29Kl9kvn9dfbLzNvvWVnSdSsab+g/Pij/cI/dSr06QP33GNnST38sL0+71bfIr40dy5s3mzzkt1zD/TsaWc/7d9v8z1dcYUNQFUkvXvbYNQ//wkJCTBxYsF1O3f2buaT49j67iV7ObmDT2Fh2cmllfep/Fqxws5O7drVPvfzs0FY97K7LVvs7zE4uODg09q19pqcS0BL0eZDmwHo06JPmfQvpUfBJxEREZGq5N134emnC6+zaJH9wpJf8tkhQ+wX/YkTYdo0u8PWnXfCZ5/ZnbNAwScpXevXQ2Ag3HSTneHx0kuwc6f9Qh0TUz7zPV1MjRowYIDdZSwgwL62gnTqZGceZmR41vaRI3aZVX4zn3r3tjMZp0zJDj4p71P5tWKF/ZucM1dT69a5Zz716GGTiRcURFyzpkxnBrqTjWunu8pPwScRERGRqsJx7Bfz994ruM65c3bb7YKSzw4datv5z3/gz3+G//3P5trp0yc72a2CT1Ka4uPtblzuXePGjLFBp3/8w+4Od+edPus6MyuTr7d+zZlzZ0q+cffSuwkTcudmyqtTJztTMSHhwnMLFsAzz+Qu2749+7r83HijDXhp5lP5tncv7N6dveTOrXVruwzz1Cm7E547+JRfEPHgQZs3asCA0hhxviIPRtI8oDnNA5qX2RikdCj4JCIiIlJVREVBYqKd+XDsWP511qyxOV7cy2/y6t8fGjaEe++127TnVLeuXQKi4FPV87e/2aT0jlP6fcfF2eBTTt26wRNP2Bl57qCoDzwd/jTjPhvHf7b8p+QbHzXKBoDzSzSeU+fO9pg379OpU3aHvBdeyN45D7KX6OU38ymnpk3tUcGn8smde2/o0NzlkybZXe7uuANOny48+LR2rT2W4cynDUkblO+pivA4+GSM+dAYk2yMiclR1tAYs8wYs8N1bOAqN8aYN40xO40x0caYPjmumeiqv8MYMzFH+WXGmC2ua940xv7XRVH6EBEREZF8fPNN9uMdO/Kv405QW9CXEX9/G8B6//3smSY55VzyIVWD48CMGTb30pw5+dfJyrLLNUvaiRN2Rzh3zpsSlpmVyYn0E/me+yLuC15a9RIAy/csL/nOBw2ygZ+LJYJ2z2DKm/fpzTdtwKFePXj22ezy7dvtsr42bQpvt3Fje1TwqXxasQIaNLDBpZyuusoum1y40D7v0cPOYktOvjA4vHat/Sz0KZuv0rHJscQfiWd0+7LbaU9Kjzczn2YBeT8VTwE/OI7TAfjB9RzgGqCD62cyMB1sIAl4FugPXA486w4muercn+O60UXpQ0REREQKsHAhNHctbXAvvclr3z6oXt1uu16Q2rXzDzyBgk9VUUKC/dz4+8Njj9mZdXnNmwehod7vypbTa6/ZJPc5xcfbY96ZTyXk1TWv0mZaG/ac2APAjqM7uP3L2xk+ezgTv57IgOAB3Nj5RsJ3h+P4YtZXw4YXr1Ovnt0YIC4uu+z4cZus/Prr4fnnYfny7J3Rtm+3GwRUr154uzVqQP36Cj6VVytXwpVX5r88+h//sDPijLGzAJs2hTNnIDU1d701a2yerzJKyP9x9Mf4GT9u635bmfQvpcvj4JPjOD8CeednjwVmux7PBm7MUT7HsdYC9Y0xLYBRwDLHcY45jnMcWAaMdp2r5zjOWsf+1Z6Tpy1v+hARERGRvPbvt8mLf/c7uyNSYcGnVq1snaJQ8KnqCQ+3xzlz4ORJePzxC+v89JM9btxY9H5mzrT5xc6ezS5zB598NPPp5wM/k3ImhQcXPcipjFOM+2wci7cv5mzWWW7odANf3vIloy4dRVJqEjuOFTCbsDT075/9HgO8+qqdFfa3v8EDD0DLlnajAfdOdxdbcufmnjEj5Utqqv0bnt+mEGB3SvzmG5ubr27d7CWUOX+X587Bhg1llu8py8ni0y2fMqr9KJrWbVomY5DSVdycT80cxzngenwQcP8XWStgX456ia6ywsoT8ykvSh8iIiIikteiRfY4fjy0bVt48Kk4OXJat4aUFBuEqOy2boXhw+3rrcrCw+1MuQkTbJ6lWbOyZ9m4uYNORV16d/y4fb9Pn85eGgp2tk+tWtk7LZaw7Ue3U6dGHb7b9R2DPhxE3OE4vrzlS1ZOWsnc8XNpGdiS4W2HAxC+O9wnY/DI0KF2x7vERBtg+vRTuOYa6NnTzmp55hmb9+mzz+xOgN4EnzTzqfyJjrbH0NCC67RvD7e5ZhTlF3yKi7P3U//+vhnjRazYs4LElETu6nlXmfQvpe8icy095ziOY4zxaYbBovZhjJmMXZpHs2bNiMj7j6EPpaWllWp/IpWJ7h+R4tE9JDl1nz2bui1asC45mR6NGlHr55/ZmM/no/+OHaR06UJ8ET87TVJT6QZs+PJLTrVrV6wxlyVP7p/mixfTOTycyI8+4mSvXqUzsPLGcRj43Xec6NWL+BUrqDZkCP1mzcK5+242vv8+WTVrYs6e5crISKoBxyIiiC7CZ6vBhg243+Htc+aw3xXw67FqFbWCg9m4cmWJvSQ3x3HYmryVa1pcw/bU7UQfimZim4nU2FeDiH0Rueo1rtmYz9Z/Rqe0AnaQ87GAgAD6AnHTp5PWsSOX79nD9htvZL/7vW7fnsvat8f//vupkZHBVsfhoAe/h27VqlF7z558/1YURv/++Farr76iA7D69GkyPHifA/bupS8Qs3w5RzIyAGi8ciXdgY2pqaSVwe/qn9v+SR2/OtQ/VJ+II6Xfv5S+4gafDhljWjiOc8C15M0dSk0Ccv6XWbCrLAkIy1Me4SoPzqd+Ufq4gOM4M4AZAH379nXC8m5H6UMRERGUZn8ilYnuH5Hi0T0kuezdCyNGEDZsmE0mPmMGYUOG5M4XkpUFR45Qu29fmhX1s+PvD88/T79mzS7cArwC8ej+cc3m6V2/foV+rcWybRscPUqzW2/N/szMmgUjRzJk9Wp47jnYtMkulWvYkIZ79xbt79KPP9r8NQ0a0PHoUTq620hOhv79ffK3bn/qftJ/TOeqXlfxRsc3WLBtAb/r+zv8ql24JHX0idH8b9f/GDp0KKagfGi+dOWV8PjjdE1OtkmogY5Tp9KxdevsOrNmwRVXAND5hhvofOWVF2+3SxfYudPr91f//vjYJ59A48YMmjCh4Px7ObVvD0D3pk2z/1Zt2gRA35tv9iy3WAlyHIdx68YxofsERo9QsvGqorjL7hYC7h3rJgILcpTf7dqRbgBw0rV07jtgpDGmgSvR+EjgO9e5FGPMANcud3fnacubPkREREQkp5Mn7XKcbt3s844d4ddfbR6onJKTbZCgOMvu3Nfu21d4vcrghGsXtISEsh1HWXLnexo2LLvs6qvtNu8vv2yTj7uX3P3mN/YzdvCg9/2sXWvzOg0dmr09/K+/wp49Psv3tOOozeHUoWEHLgm6hCmXT8k38AQwLGQYyaeSiTscl+95n/PzswGoFStg8WLo3t0ugc1p8GC4+24brOjc2bN23cvusrJKfsxSdFFRNlG4p4HOJk3sMeeyuz17bLL6Bg3yvcSX9p7cy4n0EwwKvshOjlKpeBx8MsbMBdYAnYwxicaY3wIvA1cbY3YAV7meAywBEoCdwEzg9wCO4xwDXgA2uH6ed5XhqvO+65pdwLeucq/6EBEREZE88iZldud7yZv3yR0wKk7wqXlzu4tWVUg67g4+7d5dtuMoS0uXQnDw+ZkV5/3pT3Z3rVmzbFLjhg3hRte+Qd7mfXIcWLfO5qYZMMDmLDp82M66chyf7XS3/ai9Pzo2unh+JHfep+W7l/tkLB4JC4MdO+wuaNdem3+dd9+1s8jcwYiLadIEMjOzP+tS9s6etXnPCsv3lFetWhAUlDv4tHu3zZVWBjP1tiTbvG09mvUo9b6l7Hi87M5xnNsLODUin7oO8IcC2vkQ+DCf8o1A93zKj3rbh4iIiIjkEBtrjzlnPoENPg0fnl2vJIJPfn42GKHgU+X30UewYAH8+c8XfoHt1s3OxPn3v+3OW337Zn9Z3rwZRo3yvJ+dO+HYMRt46uTKqbRuXXZSe1/NfDq2g1p+tbgk6OL3gaFbKQAAIABJREFUQ0j9EELqhxC+J5yH+j/kk/Fc1NCh9piZCWPG5F+nbt3zS+884k5UffhwqS/NkgJs3QoZGXbmkzeaNs2dPH737guDxqVkyyEbfOrWpFuZ9C9lo7jL7kRERESkvIuLs7mY3DuCtWoFtWv7ZuYT2OU+v/xSvDYqgqocfFq3Dh58EK66yuZ1ys8DD9jAUXS0DT41aGA/W97OfHIvsxswwLbj5wcLF8Kbb9rPtY++QG8/up32DdtTzXj2lWlYyDAi9kSQ5ZTRErXQULuMqn59GFRCy5ncM6S04135ERlpj97MfAL7u3TPfHIcu+zOR7tEXkzM4RhaB7UmyD+oTPqXsqHgk4iIiEhlFxtrlyb5ufLVVKsGHTrkH3zy94fGjYvXX9u2VSMPkjv4lJQE6ellO5bS5Dhwzz02iDlvnl1mmZ/x46FRI/u4b1977NXL8+DT88/DnXfCzJkQEGBnONWpY9uYOdMuPfrkE6hZs9gvKT87ju2gQ6MOHtcf3nY4x9OPs/mgl8G1kuLnB1OmwKOPFvw78VZ+uYKkbEVF2f886Hjx5aC5NG2a/Xs8cgROnbJ/q8vAlkNb6NFUS+6qGgWfRERERCq7uLgLlyZ17GjLHSe7bN8+u2SuuDlAOna0yczT0orXTnl34kT2e1UVZnq5xcTYpT9PPZUdXMqPvz9MmmTfo379bFmvXvbaiwXrjh+3waf5820OoyuvzA6ejh1rZ9etWGEDXD6QmZXJzmM76djQ8y/4w0Js0vXwPeE+GZNHXnwRnn225NrTzKfyJyoKevbMvh88lTP4tGePPZZB8Ols5lm2HtlK96YXZNyRSk7BJxEREZHKLCXFBpW65cmtMXy4XS62bl122b59xV9yB9n/I79jR/HbKs+OH89+rVVp6d38+TagNHbsxev+9a8QEWGDmmCDT5mZNvBZmG+/tfWWL7f5wz77LPvc00/bL8/ugNb/s3ee4VFVaxu+dxqppJOQAiGN0FvoRRAElKIo6lERVMSChU9Fj12PqMejYkPFiooUsYDSFekgvYYkJCGFkgRSB9Lb7O/HykwSMkkmk0ll3deVa5K11157TTIzuh+e93kbgfNXzlNcVlwv55Nve19C3UObV3wyN1J8alloNCLAv755TyDEp4wM8b7SfV41Q9ldTGYMJdoS6Xy6BpHik0QikUgkEklbRneTf7Xz6d57RT7Mp59WjJlLfNKFQl9d1tfW0Gigf3/x/bVQZqhjzRqRKeTlVfdce3sYNariZ93r8PTp2s9bu1bcLA8eLF6TTk4VxxSl0Tt01afTXWXGBIxhZ9JOSrWl+rFzl8+RW9xKXYA2NiKrKzW1uXciAXj7bVEu98gj9T+3QwfQakV4v875VIP4dDT1KBn5GSZvszZOpZ0CkM6naxApPkkkEolEIpG0ZXTi09XOJ0dHURL1889w8SKUlopSOXOIT7oA6JiYhq/VUikuhvx8CAsTbcyvFedTYqLIbLr1VtPODw4WmWO1vTaKi4XzacoUMbcZiMsUrr0QN+OdTyByn3KKc/jkwCfM/2s+3T/rTuePOjNj9YzG2GbTEBQkguMlzcvZsyJkf+ZM4SCsL0FB4vHQIfE+dnMT/wBxFVpVy+jvR/PmrjcbuGHDRFyKwFKxJMwjrFHWl7RcpPgkkUgkEolE0paJjBTZO4ayPebOhZISEd6cmir+Vdwc4pOdncjkacvOp8uXxaObm3APXCvi05o14nHaNNPOb9dO/L5qE5927hTlosaU9TUCRaVFrI9bj6ONI96O3vU6d3TAaBQUnvnrGRYdXISPkw+TQiaxNmYtZ7JaqYATGtq238uthZdeEo6/N00UhcaNE59XP/4oPq9qyHu6mHuRnOKcRnu9RqRF0NWjK+2s2jXK+pKWi5naIEgkEolEIpFIGszOnaIc6YEHwNq64etpNCLTKSzMcDhtaChMmACLFon27GAe8QlE6V1bvmHVdbpzcbl2uvsB/PqrcF00JKi4a9faxac//hAC5tixpl/DRNLz0rn151vZc24P793wHko9y/s6OHRgy71bsLG0YaDvQGytbEnJSaHzR5357OBnfDjxw0baeSMSGgorV4qQeFvb5t7NtcmpU7B8ObzwQkV+2lUUlhZSpi3DwcbB8Bo2NnDnnfDdd6Kj6ZAhBqfFZ8UDkKRJMsfOq3Eq7RQDfRsvr03ScpHOJ4lEIpFIJJKWQFmZKIN75BGRI7R/f8PWu/decYOxdy8MHVrzvHffFTeUTz4pfjaX+BQaKgSGyt302hKVxafAwGvD+bR8OezbB7NmNWwdnTCp1Yqv998XpXwgSot++QXGjxd5UU3M/X/cz+GUw/x020/MHzbfpDXGBo5lZOeR2FoJocbHyYfbu9/OkuNLWmf2U2ioeB/Hxzf3Tq5d3nxT5J7Nr/k1+fD6h5n609Ta15k5U4iIFy7UmPeUkC2E9CRNEqqZP79PpZ0iUZNIP28TAtMlrR4pPkkkEolEIpG0BP78UwgYTzwhSrpuuMH0DlNlZcKpMHYs7NolckJqondv0bp72jQhVpmr9XZoqCid0rX2bmvoxCdXV/E702gqxtoiiYmiTHP4cPEabQhdu4q8rORkkT/z7LPChbFwoQgnLyoSHe2amCRNEhvjNvLcsOe4s+edZl37ycFPcqXoCktPLDXruk2CrqNjW3YytmSio0U23xNPiLK5GjiYfJDItMja1xo8GELKc8xq+KyPzxYiY15JHlkFWSZt2RCqqjJv8zxcbV2Z03+O2daVtB6k+CSRSCQSiUTSEvj8c/D2Fjfgf/0lbs7fece0tdLThQA1dSqMHAlWdSQtuLnB6tUieNzR0bRrXk1b73iXnS0edWV3AHFxzbefxqSgAO65R3y/bFndr6e60L02YmJgxw7xff/+wtWRnw/bt8OAAQ27hgl8e/RbFEVhdv/ZZl97sO9g+nfsz5JjS8y+dqOjEyvacgOBlsybbwoX4FNP1TilVFtKfFY8aXlplJSV1LyWoghXLNTpfALjS+80hRp+jfoVraqtcc6a02vYlriNBWMW4G7vbtS6kraFFJ8kEolEIpFImpvERNi4ER56SGQ9hYWJ0qbPPhPlEfUlOVk8+vrW7zxDuVCmonNLtNUb1spld8OHi9/dL780754ag5wcuOkmUQb69dc13rDWi6vFp+7dRd7Z4sWiTLRf05fklGpLWXJ8CRODJ9LJuZPZ11cUhdu7386R1CMkX0k2+/qNSvv20LFj2xWSWxplZaL7aFIS3HefcLHOnSucqTVwVnOWEm0JKiqX8i7Vvv4jj8DDD4t/mDBAfHY8bnbCYVWT+FRQUkBmfqb+51e2vcLtv9zO3b/dTWFpYZW5WlXLprhN/N/m/6NXh148HP5w7fuTtFmk+CSRSCQSiUTS3HzxhWgpP6dSKcKrr4o8nAUL6r9eSop49PExz/5MoVMn0dmsrd6wVhafvL1hyhT4/nsoLm7WbZmVkhKYOBF27xaOpzvuMM+6HTsKh11kJOzZA6NHCzfVI49UiJZNzMa4jaTkpPBQ/4ca7RpTQqcAsD52fZXx749/T/hX4WbP1zErsuNd07Bqlch2srYWjsqffoKnn4bXX6/1tNjMir9NSk5K7dfw9BT/zXFyMng4ITuBMQFjADh7+azBOfP/mk+vxb3IL8mnuKyYladW0sWlC6siVzFh2QS9AJWSk0L3z7pz04qbKC4r5qspX2FlIXueXatI8UkikUgkEomkOTl9WmQyTZ9etYtRQIBwQi1ZAqmp9VvTVOeTObG0hODgtnvDqtEIwUQXij1njih3XLu2efdlTjZvhn/+EY6nu+8237qKItxPv/4KublCfGpmvj32LR0dOzIpdFKjXaO7Z3cCXQNZG1v1NbI6ejVHUo9w7vK5Rrt2gzFGfFJVIVhKTGPDBpgxQ3STXLAA/vc/Ucr7/vt1hu9XFp8a4qzLKcohLS+NAR0H0L5d+xqdT38l/EVqbirfHP2GDbEbyCzI5LObPuPHaT+y6+wuPtr/EQCvbn+VhOwElt+6nHNPnWOIn+EOe5JrAyk+SSQSiUQikTQXpaWi+5CDA3z0UfXjTz4p5iypZ05MSopwUnl5mWefpqLreNcW0WiE60lRxM8TJohOgV9/3bz7MifLlolSnxkzzL92164VgfrXXWf+9Wvg5KWTFJQUVBkrLC1kS/wWpnef3qiuDEVRmBo6la0JW8krzgNECPOhlEMARKbXERbdnISGir+XLuvMEB9/LNw6hYU1z5EYJjJS/ANEnz6i+cTLL8NzzxndfTQ2MxZLRZRN1+l8qoVEjejaGeQWRGfnzgbFp4u5FzmTdQZLxZL3/nmPr45+hbejNzcE3cCM3jO4uevNvLX7LbYnbue749/x2MDHuLvX3dhY2pi8L0nbQIpPEolEIpFIJM3FO++Ibl+LF4vSrasJDYXrrxeCRlmZ8esmJwvhqaHB0A0lJAQSEkT5YFtDoxGd7nRYWsLs2SIsPjGx+fZlLq5cES6uO+8UJUDmRpf71L07dOhg/vUNkJKTwoCvBjB7bdVA8T3n9lBQWsCEoAmNvocpXadQVFbEloQtACTnJHMx9yJA3Z3KmhNdOWRtofpbtojPnk2bxM/Hj4vuhQsXQkZG4++xNbN+vRDt1q4VGVv1JDYrlr7efbFULBskPsVniU53Qa5BBLgEGCy72312NwCvXfcaF65cYPOZzczoNUMv3L53w3sUlRYxcflEHKwdeGnUSybvR9K2kOKTRCKRSCQSSXNQUiLyPO66C26/veZ5jzwCZ88KUcNYUlKat+ROR5cuIgOpvmWDrQGd86kys2aJxzVrmn4/5mb1anEz3BiuJ6gQn5qw5G5lxEpKtaWsPLWSLfFb9ON/nvkTG0sbRgc0/l5GdhqJcztn1saI0rtDyYf0x1q88wlqL707elQ8/vSTeHzjDVG2OX+++CxISmrULbZqTp0SZdcm5vTFZsYS5hFGR6eOpOSaLj7pOt0FuQnxKUmTVC2LbM+5Pdhb2/PvEf8m3CccgFl9Z+mPh7iH8MSgJyguK+bfw/+Nh33NQemSawspPkkkEolEIpE0B9bWcPCgcD3Vxs03CxfTF18Yv3ZycvOGjevo0kU8JiTUPq81kp1dXXwKCIBu3UTZTGtn2TIICoLBgxtn/X79RMnixImNs74Bfjz5I/079ifELYS5G+fqQ5E3x29mRKcRONg4NPoerC2tmRw6md9P/05haSEHkw9iZWHFiE4jWrb4FBgoSnlrKqNNSYGLF8HZGdatwyE+Hn7/Hf79b9i6VWR77dzZtHtuTUREQK9eJp1aUFLAucvnCHUPxcfJp2HOp+x4XG1dcbF1obNzZ64UXUFTqKkyZ/e53QzxG4KNpQ1fTPqCd8e9S88OPavMeWPMG3wz5RueGfaMyXuRtD2k+CSRSCQSiUTSXNjbi5u12rCxgQceEGUZaWnGrdtSnE+BgeKxLZShXY0h5xOI7Kddu6CgoPqx1kJKCmzbBvfcU5FpZW5CQ4Wjb8qUxln/KiIuRXDi0gnu73s/n0/6nDNZZ3hl2yskX0nmVNqpJim50zGzz0yyC7NZF7OOQymH6NWhFwM6DiAqPQqtanyJan5JPm/uepPDKYcbZZ+/n/5dXxKIjY14P0fWIJAdOSIeX3wRCgro8dprohR17lxReteunRBYJNUpKYHoaOjZs+65BjiTdQaAUPdQfJ18qwWO7zu/j2mrplGqLa1zrYTsBILcggAIcAkAqna8u1J0hROXTjCy00gABvgM4Nnhz1Zbx8HGgdn9Z2NrZWvSc5K0TaT4JJFIJBKJRNLSuf12kZuky1KpjcJCyMxsGc6nTp2EeNEWnU+1iU+FhUKAaq2sXCk6l91zT+Nex8gwZXOw7OQyLBVL7uxxJ+MCx/Fo+KO8v+99HtnwCECTik9ju4zFr70fS44v4XDKYQb5DqKHZw/yS/Jr7C4G4sZ/1HejeHDtg6yOXs3gbwbzyvZXWHRwkcl7OXHxBKGLQnn6z6c5q6kQGS7mXmTaqml8deSrismDB8O+feK1cTVHjghn1Ny54O+PfXIy3HGHEMGtrES218mTJu9Tj6oKF1Vb4swZUZ5sovNJ1+muJufT6ujV/H76dy7lXqpzrfjseAJdxT8a6MSnyq/Jfef3oVW1jOg0wqS9Sq5tpPgkkUgkEolE0tLp21eISevX1z1Xl6/UEpxP7dqJHJNryfmkc3m05tK7Zctg0KCKnJ9WjlbVsjxiORODJ+Lp4AnAxxM/ZkzAGNbHrsfb0ZveXr2bbD+WFpbM6jOLzWc2c7noMgN9BtKjQw+gInT86pwdgFWnVrH73G5WRKzgtp9v41LuJQJcAvQh0abw6o5XOX/lPJ8c+ISQRSF6F9X+C/sBSM9Lr5g8fLgorTP0fj5yBMLCwNER/vUvMfZ//1dxvHdv8zifHntMlIO2pSYGut9LA8WnELcQfJx8yC7MrtLR8XTmaQAyCzJrXae4rJizmrMEugjxqbNLZ6Cq+LT73G4sFUuG+A0xaa+SaxspPkkkEolEIpG0dBQFJk8WgkZxce1zk8tLLlqC8wlE7lNbcz4VFoovQ+KTvb0QoFqr+BQZKbqUNbbrqQk5lnqM5Jxk7uxxp37M2tKaX27/hTCPMKZ3m47SWOWFNXBf3/v03w/0HUgPz3LxKT2SXyJ/wf1d94qSt3KWHF9CD88epD2bxrq71nHy0ZNcH3C9vuyqvpy4eIK1MWt5YcQLnHnyDCoqv0X9BsCBCwcAyCrMqjhh2DDx+M8/1Rc7cgQGDBDfv/QSJ//3Pxg4sOJ4r15CuDK2611pqShHq8ymTSIjLy2t4nOutbJzpxDnVFWIT5aWQrwzgdisWDo6dsSpnRM+TuJzPzW3osnD6QwhPmUVZBk8X8eus7so0ZbohSV3O3ccrB30IeTpeel8e+xbhvoPxdHG0aS9Sq5tpPgkkUgkEolE0hqYNAlycmD37urHSkpERk9RkcjrgZbhfAKRE9PWnE+XL4tHV1fDxydMgKgoOH++6fZkLpYvFzfCd95Z99xWwq6zogRyTJcxVcbd7d2JeDSCT278pMn3FOwWzMhOI7G3tqe7Z3ecbZ3xa+/HnnN7eHzT42QXZutb2gNEp0ez/8J+7u97P442jkwOnYy3ozdBbkFcyrtEbnH9S9He3vM2TjZOPDHoCQJcAhjsO5htSdsA2J8snE+Z+ZXcMj17Qvv2sHev+HnzZvj6a+G2TE2tEJ+cnckaNKjqxXSuHmPdT7fdJsr2dGRlwezZwlkFEBdXn6fa8vjsM/j4YyFCnToFISFga1o+0umM04S6C5eiTnzSld4VlRaRmC0+f6v8LQ2wLmYdtla23BB0AwCKojCi0wi+PPIl62LW8cDaB8guyOazmz4zaZ8SiRSfJBKJRCKRSFoDY8eKcq4NGyrGtFr46CMh8IwdC+++2zKdT8nJwinUVsjOFo+GnE8gxCcQXb5aE1qtEJ/GjxcdFtsIO8/uJNA1EL/2ftWOWVlYNbnrScfiSYtZNX0VVhZWAPTw7MGGuA1k5GdgZWHFoZRD+rnfHf8OS8WSGb1nVFkj2C0YQO9OMZaYjBh+ifyFxwc9jqudEFGv73I9h1MOk1WQxaFkce0qbhlLSxgyRIhPBQUwcyY89FBFmZ1OfDJEfcWnQ4dg7Vq4VJ5T9MorkJ4OP/4ofj5jmturRaCqFQLeokXid2Ji2HhxWTHHUo8R7hMOgK+T+EcHXeh4fHY8ZWoZUHvZnaqqrI1dy7jAcdhb2+vHV9y2gt5evZn601TWx67n3RvebdISVUnbQopPEolEIpFIJK0BBwcYM6Zq7tM778BTT4kMlN694YcfhNBja1uzK6ep6dJFPJ49W/u81oSmvPV4TeJT9+6i/O7Ysabbkzk4eBDOnWu1JXdrotfg9j+3KhlIWlXL7nO7ua7zdc24M8P06NCDyaGTK34uL717ctCTDOg4gIPJBwEoKSth6YmlTA6djJdjVVEwyFV0Jqtv6d3WxK2oqDw84GH92PVdrkerall8aDF5JXnYWtlWL9UaPlw4dT78UIhBEyeKcH1FEdl0NeHtDe7uxolPeXnCSaXVwq+/ivfb998LsWvqVCHCt2bnU1JSRUfS338XZckm5j2duHiCorIifanc1c4nXckd1F52F5keSZImiamhU6uMu9m58fe9fzMucBx39riTJwY9YdI+JRIwk/ikKEqSoigRiqIcVxTlcPmYm6IoWxRFiSt/dC0fVxRF+URRlDOKopxUFKV/pXVmlc+PUxRlVqXxAeXrnyk/V6ntGhKJRCKRSCRtkilTxE3X66+LG75XXxWug+3b4ZlnID4eVq8WrqdmcnNUI1CE17ap3Ke6xCcLC+FkaG2t5Q+LsGlGj27WbZhCfkk+8zbPI7swm//t/Z9+PDItkqyCrBYpPl3Nrd1u5aaQm/jPmP8wyHcQh1MOU6YtY2viVi7lXaqSE6UjyE2IT/UNHU/ITsDWypZOzp30Y0P8hmBrZctHBz4CYEzAmOpumWHDhHPn9ddh6FDYuBH+8x945JGKkjhDKIoQWIzpeFf5s2LlSiGq5+eLsHELCyG2t2bnk8719Pnn4lFVTXY+6YLhdeKTi60Ltla21cQnKwurWsvu1sasBagihupwtnVmy71b+Gn6T83mEpS0DczpfBqjqmpfVVXDy39+HtiqqmoIsLX8Z4AbgZDyr4eAxSCEJOA1YDAwCHitkpi0GJhT6byJdVxDIpFIJBKJpO3xwAMwY4a42RszBgIC4MsvxY3drbcKd1RiYsvJe4IK51Nbyn2qS3wC4UQ7edJwW/qWSkSEcMy1lJLNerDwn4Wcv3KeYf7D+P749/qyI13e06jOo5pze0YxvNNwNty9gfbt2jPIdxB5JXlEZ0TzS+QvONk4MTF4YrVzXGxdcLdzJz67/uJToGtgFTHB1sqW4f7DycjPwN3OnYE+A9EUaijTllWcOHiwEIBKSuD558Vnz6uvVggptdGrlwi012hg4ULhsjNEfPlzmTZNCDXvvSfK/fqXexZCQlq382nPHpGdNWkS3HyzGDPR+bQ/eT++Tr76klJFUfBx8iElV4hPMZkx+LX3o4NDh1qdT2tj1jLIdxAdnTqatA+JxBgas+zuZuCH8u9/AG6pNL5UFewHXBRF6QhMALaoqpqlqmo2sAWYWH6svaqq+1XRc3TpVWsZuoZEIpFIJBJJ28PWVmSe/PCD+JfyVavETQwI18Ftt4nvW5J44O0t9t2WnE91ZT6BuJnMzBQdvgxx/rxxHbtKS0V2VH5+/fdZX06eFPtuZe6G5CvJvLP3HaZ3n87yW5ejVbUs3LcQEHlP/u39CXAJaN5N1pNBviKwe++5vaw5vYabw27G1spwIHWQW1C9y+7is+MJdA2sNn59l+sBGOw3GHd7dwCyC7MrJjg5QXg49OghOnDWh169REldaCjMnw/XXWe4HFcnPr30knhMTobHH684Hhws5mi19bt+S2HvXuEgs7SEt98WzzMoyKSl9l/Yr3c96fB18q3ifOrq3hV3O/caM5/S89I5mHyQKaFTTNqDRGIsVmZaRwX+UhRFBb5UVfUrwEtVVV2Px4uArkDZF6jc+uNC+Vht4xcMjFPLNaqgKMpDCJcVXl5e7Nixo77Pz2Ryc3Ob9HoSSVtCvn8kkoYh30NtmE6dRKeknByo9Dd26d2bvsB5rZb4FvS3H9ihA/kHDxLZgvZUF7W9f7rs2YO/lRW7o6JQY2IMznEpK6MvcGLZMrIHDsQ6O5sye3u07doB0HfePBStlmOLFtW6D68tW+j29tuUOjhwcfx4zt57LyWurrgcP063t97i9LPPkn11Z7GaUFWU0lJUa+vqx7RaRpw4wcWJEznTiv5OACvPrSS/JJ9pjtNIOp7E9Z7Xs/jgYqyyrPg78W8GuA5g586dzb3NeqFVtThaObJg2wKyC7MJKwur8fXoVOJEZGak0Z/3qqoSlxFHiFVItXNcrghB1avEi0tJIux7045N+Nv76+e0mz8f1cKC4l27aryGofePIxAO5Nnbc/7f/yb4008pGTqUYx9/TLGnp35eyK5ddHByYm9ODv27dcM2NZV9np6o5et11GrpWljIvl9/pahDB6Oec0vBKieHEadOkThoEGd1v59x40QZdT3JLs4mITuB8a7jq/yurQqsiLoSxbbt24i8GMkNXjeQWZRJQmqCwdfInow9qKg4ZzvL/2eQNCrmEp9GqKqarChKB2CLoiinKx9UVVUtF6YajdquUS6GfQUQHh6ujm7COvYdO3bQlNeTSNoS8v0jkTQM+R66Bhk1CqKi8L/vPvxHjjTr0iVlJbyx8w0e6PcAXVy71O/knj1xSE1tVa/HWt8/ixZBcDDXjR1b8wI9e8LTT9NHUUTJUKdOomzynXfE8eRkyM5mdL9+4Oxc8zp//AF2dljdcgt+P/+M3549osPYe+9BcTF9rlwxPqPp5ZdhxQo4cqR6IH1iIhQU4DdxIn6t6O8EsPSPpXg7enP3jXcD4NvLlwnLJvBe7HsA3DHoDkYPGN2MOzSNoReGsiVhC042TjxzyzM1Op+2qdvYvns7w0YOw8bSps510/PSKdhVwKheoxg9eHSVY6PUUeS653Jv73s5fvE4nIbgXsEM9R9ar70bfP+MHg39+uHQsydhtrZw661YjRrFsJ074dNPK+a9/TZ07SrOX7cO8vK4rnelDmtlZfDhhwz18Gh9+WTl3Uq73HsvXRq493Ux62Af3HPdPYzoNEI/nuCcwOy1szlkfYi8sjzG9hnL9qTtnM44bfAzbfPfm7G2sGbOpDk1vsYkEnNglrI7VVWTyx/TgDWIzKZL5SVzlD+mlU9PBvwrne5XPlbbuJ+BcWq5hkQikUgkEsm1h4UFfPstmFl4Avhg3we8uftNPj34aY1z9p3fx+GUw9UPdOkiAoKLisy+r2YhJkaUDtWGhwd07ChylDZ6RXBcAAAgAElEQVRsEJ3Bjh8Xxy5fFiV5Wi3U5ciJiBAlTsuWwdGj4O8Pb70l2tr7+dUveHnvXiEyzZtn+DpgcvZMcxKTGUOoe8XfI8Q9hPgn4zn28DG+mPQFM3rPaMbdmY6u9G5q16m1igJBrkFoVS1JmqRqxw5cOMAPx3+oMqbLhzJUdmehWPDc8Ofo6NRRX3ZXW1ZQvQkPF2W4AIMGidyj1aurltDFx1eUoek6eVYmJEQ8tsbQ8b17wcpKPPcGciD5AFYWVvTv2L/K+H1972OI3xBe3PYiQEXZXQ2B4/+c/4f+HftL4UnS6DRYfFIUxUFRFCfd98B44BSwFtB1rJsF/FH+/VpgZnnXuyHA5fLSuT+B8YqiuJYHjY8H/iw/dkVRlCHlXe5mXrWWoWtIJBKJRCKRSBpAfFY8Q74Zwu+nfydJk8R/dv4HgPVx6w3OzyrI4qYVN/HEJgOtuKdOFSWCb7zRmFtuGsrKxE1vXeITiJvmiAjhNgKIjRWPlfOvtm2rfY2IiApBqGdP2L9fuEH+/luIUvW5AY+OFpk9P/4Ia9ZUPabrQmZi163V0av55MAnJp3bUGIyYujq3rXKmKIo9PXuy8PhD2Nnbdcs+2oow/yHAXBnjztrnRfsFgxU73inVbXc/8f93P/H/VWOJWSL11+Qa+05Q252bgA1ZgWZhenTITUV/vlH/FxSInKgastA8vODdu3MGzreVPlR0dHis8PevsFL7b+wnz5efbC3rrqWhWLBF5O+QEFkt4V5hOFm50ZWQRbqVQ0QSspKOJxymKF+9XO2SSSmYA7nkxewR1GUE8BBYIOqqpuBd4AbFEWJA8aV/wywEUgAzgBfA3MBVFXNAhYAh8q/3igfo3zON+XnxAObysdruoZEIpFIJBKJpAF8eeRLDiQfYNqqaYz5YQwWigXPDnuW2MxYYjNjq81/c9ebaAo1xGUauCEcP76i5OzAgSbYfSNy/rxwcHXtWvdcXXevDRvEzfLZs+JcXaCyt7cIE6+JS5cgLa2q88PaWgQ929sLB8iZM8Z11MvOFuu98ILoGvbgg3C4kkstIkI41Jyc6l7LAG/sfIN5m+dxMPmgSeebSmZ+JpkFmdXEp7bAjcE3suu+XUwOrT3YO8hNCDVXd7xbF7OO6IxoVFQ+2PeBflwnPtUVwu5u1wjOp6uZNEm8N379Vfx87pwQeGsTnywsxHFzOJ9KS4U4Xt/wdFNJSqroANoAVFXlaOpRBnQcYPB4H+8+PDf8OTo5d8K3vS/udu6UaEvILc6tMu/EpRMUlBbUu6xSIjGFBotPqqomqKrap/yrh6qqb5WPZ6qqOlZV1RBVVcfphKTyLnePqaoapKpqL1VVD1daa4mqqsHlX99VGj+sqmrP8nMeL+96V+M1JBKJRCKRSCSmU6YtY0XECiYETWBO/zkkaZJ4Y8wbPBr+KAAbYjdUmR+fFc+nBz/FycaJzIJMsguyqy/64YfCsTBzprjha63oAsaNcT716gXFxUJwevhh4a5ISKgQn+6/H06dEqKQIeoqhQsOFiV8GRl17yU6Wjz27g0//yy6JI4eDX/9VXEtE0vusguyOXlJOKce2/gYWrW6i+TAhQMEfRJERr4Re62BTw9+ygt/v1BlTCeEVi67aysoisLIziNR6ug+6OXghYO1Q5WOd6qq8t89/yXQNZCZfWby3fHv9L/7+Ox4fJx86nSEOds6Y6FY1FiuZRbat4cJE+C338T7QycoBQfXfl5IiHmcT/PnCyfhpk3mdVLVRGIiBAQ0eJmLuRfJLsymZ4eanYpvXf8W8U/GY6FY6Esor3ax7Tu/D0A6nyRNglkynyQSiUQikUgkbYcdSTtIzklmdr/ZfDXlK848cYanhjxFF9cu9PDswYa4DaiqypJjS3h43cPc/NPNWFta8844YUK/2oEBiJvMt94SpWe67KPWiK50ztiyOxA30neLMGzi4oT45OEB06aJse3bDZ9vjPgExjlAdOJTt27CNfLPP+L8SZNgyRLxvEwUn/ae34uKypz+cziccpglx5ZUm7MhbgMJ2QkcuGC68+3LI1/y6aFPq4hbOvGpq0fbcz4Zi6IohHmEEZEWoR/beXYnB5IP8OywZ3l++PMUlBbw+aHPAeF8qqvkDkT5lquta+M6n0CU3l24AAcPVgiztTmfQLx24+MbVi63dKnoGnr33aAosHKl6WsZg0YjxGIziE+R6ZEA9OjQo8Y5iqJgZSH6i+lKKK/+W/5z4R/82vvh7+xf7XyJxNxI8UkikUgkEonkGuKbo9+wYOeCWucsi1hG+3bt9eU+QW5BevfFpJBJ7Dy7kznr5jB77WzWnF6DpYUliyctZlTnUQBVHBhV0HVa0uW7tEZiY4WQ5uVV99xu3URXudmzK0KSY2OF+ykoSJS/OTuLDKZffxU5TpcvV5wfEQEdOogvQ9RXfLK1hc6dxc8dO4qw8xEjxP7KyqoHOxvJ7rO7sbaw5qOJHzGi0whe2PpCNffb0dSjAJxKO2XSNfJL8olKjyK3OJeYjBj9eExmDFYWVnRxaXgpU2tmiN8QDiYfpExbBsCig4vo4NCBWX1m0c2zG5NDJ7Po4CJyinJIyE4wGDZuCDc7N7IKG1l8mjIFbGxgwQLhLLS1Fa/P2ujbFwoLhWBlClotvPgiDBsGP/wA110nstmMKWE1laQk8WgG8SkqPQqAHp41i0+V0ZVQXu1i23d+n3Q9SZoMKT5JJBKJRCKRXCOUlJXw0raX+GD/B9WCZ3Xkl+TzW9RvTO823WBZzuTQyZRqS/n22Lc8N+w5Ls2/xIlHTjCzz0y9m8Jg7hOIsjt/f+PEp5ycpgsBrg+xscL1VEcpFCCybBIS4LnnwM0N3N0rnE+BgWBpCRMnwsaNcPvtcMMNQqwaP17cWNdVCteli8i/MaZcKDpa5FRZWlaMOTuLcqPbbhMduMLD617HALvO7WKQ7yDsre359MZPySrI4tXtr1aZc+ziMYAq7pz6cPzicb3jqXJHxdjMWAJdA7G2tDZp3bbCEL8h5BbncirtFKXaUrYmbGVq6FT9e/iVUa+QkZ/Bf/f8l+QryfUSnxq17A7AxQUWLhTvg88+E+8NizpuU6dOFSLV8uWmXfOffyA5GR5/XLz2775bCF/Hjpm2njHoxCczZD5FpkXiZudGB4cahOmrMFR2l5qTytnLZ6X4JGkypPgkkUgkEolEco3wV/xfpOWloSnUcOHKBYNztsRvIac4h7t73W3w+FD/oUwKmcTC8Qv53w3/q5JHY2dth197P85k1+LEGTasbvHp4EHw8RElMeYgL88864C4QTWm5E6Hi0vFjXRoqAggP3euoqzo+++FyBQRIfKXnnsOtmwRLpBTp2p3I9nYCCeTMc6nqCjhxLoaW1uRAXXunLjpryd5xXkcTjmsd7318e7D3PC5fH74c05cPAGIfJqUnBTAdOeTTnCytrDmUMoh/XhMZvVOd9ciOgFh/4X9HE09yuWiy4wNHKs/Psh3ELd2u5V3976LimpU2R0I0aLRy+5AiEALF9YdNq6jfXshQP30k+iQV19+/lm89nVB47fdJsL8dZ0pGwMzOp8i0yPp4dmjzjwwHYbK7nSle329+zZ4PxKJMUjxSSKRSCQSieQaYenJpfr227qA6KvRlXMM8h1k8LiVhRXr717P00OfNng82C245rI7EOLT+fPiyxBnzogbwtxcIcI0lAMHxI3qjz82fK2CAiHS1Ed8qkxIiNiPVltxg21rCz17iq8bbhAdAWfMgP/+V7if6sphCg6uW3zKzxed9gyJTyDEsbrKnGpg/4X9lGpLGdlppH7sjTFv4GbnxhObnkBVVY6lCjfJYN/BRGdEU1JWf7HgcMphvB29GeI3RC9ElWnLiMuMa5Nh4/Ul0DUQT3tP9l3Yx9YE0UHx+i7XV5nz5pg3UVH1843Bzc6tWkh1o/H007BqFbz6at1zAe65R4Tt60LzjaWsDH75ReSd6bo7urkJF6Ku615lVLUi660hJCWBo6O4VgNQVVUvPhmLTnyq7GJLzE4EoIvrtV2yKmk6pPgkkUgkEolEcg2gKdTwx+k/mNF7BlCz+BSfHU8Hhw44tXMy6TrBrkaITwD79lU/VlQEN90kxJlx48Schpbe/fGHWOPBB2HPnoatFR8vbkS7mui0CQ2t6PRXm7vjgw9E+R2YR3yKiRH7rkl8agC7zu7CQrFgmP8w/ZirnSuvjnqV3ed2czT1qL7k7t7e91JcVkxcVv27ih1JPUK4TzgDfQZy7OIxSspKOH/lPEVlRdL5hAiXHuo/lH0X9rEtaRu9OvSqVpLVzbMb9/W5DwWFYLc6usmV427XRM4nHXfcYXz558SJQsipb+nd7t1w8aK4VmVGjxYibVpa1fFFiyAsrKLTpSGuXKk7LyopSbiejHQr1URqbiqaQk2tYeNXY2Npg5ONU5W/ZaImEUvFEr/2fg3aj0RiLFJ8kkgkEolEIrkG+DXqV4rKinhi0BMEuARwMq1m8cnYkhxDBLsFk5aXxpWiK4Yn9OkDdnaGS+8OHhT5RZ99JjJYNBo4fdrkvQAixLtvX1GeNm0apKaavpbu5rPc+RSdHs31P1xf83O9Gl3oONRe4ubpCV98Af36CUdUbQQHQ3Y2ZNbiTtF1uuve3bh9GklRaRGrT6+mr3dfnG2dqxy7t8+92FrZsuTYEo6mHiXINYjhnYYD9S+9yy3OJTo9mvCO4Qz0HUhhaSFR6VH64HHpfBIM9RtKbGYsu87uYmyXsQbnfHzjx2yduRVPB0+j1nSzc+NK0RWT3GqNjo2NEJB+/x22bq1d/FFVeOIJmDkTXn8d7O2F86ky/fuLxyNHKsaKiuB//xPn//139XXLyuC990T3yv/7v9r3qxOfGojOndrds37v56tdbImaRDo5d9J3xJNIGhspPkkkEolEIpFcA6yKXEVX966E+4TT26t3zc6nrHiC3BomPunWMYi1NQwaZFh80o2NHVvhkGpIZ7ysLDh8GG65RWS5mFKiUxmd+FQuIu0+t5vtSds5lHyolpMqoSvXM6ab1+23w9GjYm5t6ASt2txP0dEiaLyy+GUGnv7zaU6lneKVUa9UO+Zi68Jt3W5jecRyDiQfoH/H/oR5hGGpWBJxqX6h48dSj6GiEu4TTriPcMUcSjmkz6zp6iGdTyBCxwGKy4qr5D1VxtHGkTFdxhi9pq5LWnZhdh0zm4l580SQ/7hx4qumfLe1a+HTT2HdOtHl8bbbwMGh6px+/cTj0aMVYz/+CCkponnA9u1irKgIXngBZs2CwYNFTpufH3zyCaxfX/NezSQ+RaaJ1319yu5A5HdVEZ+yE2XJnaRJkeKTRCKRSCQSSRtHq2o5cOEAY7uMRVEUenfoTUxGDIWlhVXmFZUWceHKhQY5n0LchcBRZ+ndsWMii6gye/eKkjYPDyHUuLk1THzavl04Fm64AXqU36jVlDVlDIcPi3K58pyYjPwMAE5nGOnOCi4vdTKmm5ex6NaMqEHQ0WhgzRohPNnYmOeawIqIFXx++HPmD53PLWG3GJzzQL8HuFx0mQtXLtC/Y39srWwJcQ8xuuOdqqqoqqrPeBrgM4Ag1yBcbF348siXvLztZXp26ImXg5fZnldrZqDPQCwVSywVS30AfEMxlBXUoggLE27JBQtg2zbhgLqasjJ46SXxmZKeLtyPX39dfZ6zs3if6JxPpaUigy08HO68U4hWWq0IK3/nHfH5otXCkiVC4O3dGx54QJT0XY1GA5cvmy1s3N3O3ehOdzquLqFM1CTSxUWKT5KmQ4pPEolEIpFIJG2cuMw4copzGOAzAIDeXr0pU8uITo+uMi9Rk1ivTliG0J1bq/g0cKC4sYuMrBhTVSE06RxPimJcZ7za2LJFCEUDB4pSPw8P08UnVRUZVEMr2pLrbsiNFp8cHcHXt0IwMgdduojnNmeOKNFbuLBC1Lt8GSZMEGHJCxea7ZJaVcszfz3DEL8hvD327RrnjQ4Yrb+57ectXCU9O/Q0uuxu9A+j8XzPk/f3vY+vky/ejt4oikK4TziHUw7TzbMbf9/7t9Edv9o6DjYODPAZwDD/YbRv194sa7rbC+dTk+Y+1RdbW1FSB6Kr49UsXy4+a956C6yswNtbOJkM0b9/hfNp9WqR8/biizBmjHBORkXBDz8IAfnsWTH3/vvFeitXiuynN9+svq65O911ML7TnQ43Ozf9Z1ZecR5peWlSfJI0KVJ8kkgkEolEImnjHEkV/5I/oGOF+ATVQ8d1pXLGhhEbwsHGgY6OHWsPldaVf8VXKs2LjRW5RcOHV4wNGyZK3TIyTNvM33+Lm0Zra/Gzv7/p4tO5c8LRMGSIfiijQOwrOiO6prOq8+OP4ibYXNjawsmT8P77wik2f764MR41StzoHj0qOnjddJPZLnko+RAXcy/y+MDHsba0rnGehWLBnP5zsLG00QufvTr0IiE7gbziGsqjyjl/+Ty7zu4i0DUQB2sH/tXzX/pjc8PnMrvfbHbM2oGXo3Q9Vea3O37jp+k/mW09vfOpqTremYqzsxB2o696L5aUwGuvwYABotSuLgYMEKJSZiYsXizeSzffLMLIAZYuFQ6rmTOrB4d37y5C0Nevr54/lSg6y9GlYWJPTlEOJy+dpKdnHVlwBqjsfErSJIntyLI7SRMixSeJRCKRSCSSNs6RlCPYWtnqA2qD3YKxtbKtLj5lCzGoIZlPuvVrFZ90YduVc4r27hWPV4tPAPv3V1/j1KnaXVGJiULcGjeuYqwh4pNuD5XEp3o7n0CIYXWFiNeX4GB45hnYtUt89e8vSo3uvFNkXE2datbLrYtdh6ViyY0hN9Y597nhzxE1NwoPew9AOJ9UVH1ock1sPrMZgO9u/o7YJ2J5f/z7+mPTuk3jm6nfmNyRsS3j194PHycfs62nE59atPNJR7du1Z1PGzYI19HLLxvXZW6AEElZuRJ27BBdMi0shJAbEAAffiiEpZkzDZ9/001CvLpaBDOT8+nzQ5+TW5zLfX3vq/e5bnZuZBdmo1W1JGqEGBboWkvjA4nEzEjxSSKRSCQSiaSNczj1MH28+uhdKpYWlvTs0JMTl05UmXcm6wyONo542hvXCasmwjzCiE6PRq2p+5S9Pfj4VHU+7d0rnDuhlTqXDRwoymR27ap6/i+/iGMjRxrObgHRTh2E2KOjIeLTvn2ivK13b/2QLvMpOSeZnKIc09Y1NyNHwsaN4vf5xRdVn7+ZWBe7juGdhuuFidqwtLCsImaGeYQBEJsZW+t5m85swr+9f707eknMiy5wvFWIT927C9Gn8ufOV1+Jz5rJk41bQxc6/uqrIqT/vvsqjo0eLcqFR42q2cGkcxhu2FAxptUKB6eTE7i6GvtsqpFfks/CfQuZEDSBgb4D632+u707WlWLplBDYrYQn2TZnaQpkeKTRCKRSCQSSRtGq2o5mnpU3yVMRz/vfhxMPsjlwsv6sfjseIJcgxqcodPbqzeZBZmk5KTUPCk4uKrzSZf3VDmI295ehIWvWCFu+kB0rLrjDuFQGD8eHnpIhP9eTXS0KLfrWqkTmr+/yEHKMUEo2r9fBA9bV5SZZRZk4mAtOmbVy/3UijmrOcvJSyeZEjrFpPMDXQNRUGp1xhWXFbMlYQs3Bt8o85yamfbt2mOpWLbcwPHKdOsmut3pBOakJNi8GWbPFiK2Mbi6CmdmdjZMmVK1K6Wu9G7WrJrP9/MTAvXGjUIEe+wxITp9+aUoN27A6/mrI1+Rnp9usLukMeiC+ROyE0jUJGJvbV/v0HKJpCFI8UkikUgkEomkDRObGUtuca4+70nHI+GPkFOcw4f7P9SPxWfFN7jkDqCPVx+geqZUFYKCKpxPmZlw+nRFmV1lHnwQkpPhzz/F4/z5MGmSyHNauxb+9S8RCHzgQNXzoqOFwFVJLMLfXzzW1/1UVCS681UKGwfhfBrqL8auFfFpfaxoJW+q+GRrZYu/s3+t4tPec3vJLc41qqxP0rgoioK3ozfnrzSgS2RT0b3cJacrefv2W/H44IP1W6d/f/E4Z07V8TvugE8+gXvuqf38SZNgzx4hin/+uciM+vJL4dg0kaLSIt775z1GB4xmeKfhdZ9ggPFB47G2sGZlxEoSNYkEuARIcVfSpEjxSSKRSCQSiaQNcyRFhI1f7Xzq37E/t3a7lQ/2fUBmfiZl2jISNYkN6nSno5dXL6AO8Sk4WLQ8z8uryG4abuCmavJk6NABvvlGdJHSamHRIhG0bW0tymo6doRHHxU5Rzqio4UTojKmik9Hj0JxcZW8p1JtKZpCDYN8BmFlYXXNiE/rYtcR4hZCV4+udU+ugRC3EOIyaxafNp3ZhLWFNWO7jDX5GhLzEeYR1jpe37r3e1SUcEp++y3ceCN06lS/de66SwhIEyZUHbezE131auqUp+Omm8T1X3xRfL9smXBoBpqer/Rz5M+k5KTw/PDnTV7D3d6dyaGTWR6xnLjMOFlyJ2lypPgkkUgkEolE0oY5knoEOys7unl2q3bsP6P/Q25xLu//8z7JOckUlxWbRXxysXWhk3OnaplSVQgu76iXkCDEJysrkeN0NTY2Indl3TohQD34YNW8FScn+Ogj4UxavFiMFRcLV5W5xCcDYeO6DJyOTh0JdguuX8e7Vsr+C/vZkrCF27oZ0TWsFkLcQojLitNngu2/sJ8rRVcAKCwt5I+YPxjRaYQMFG8hdPPoxumM0zVnuLUUPD3Bw0OIT2vWCHH74Yfrv86tt4qOdZaWpu1jyBCRX+frCz/8ULWU2ARUVeWjAx/RzaMb44PGN2itWX1mcSnvEpHpkVJ8kjQ5UnySSCQSiUQiaSG8uetNxi0dx9aErQ2+0YvNjOXDfR+yOno1fb37YmVRPfOkZ4ee3NXrLt7f9z5PbHoCaHinOx19vPrUXXYHIvdp715R6mJnZ3ju7NnC1WRlJbpWXc306SL/6ZVXhPB05oyYHxZWdZ6vr8hcqa/4dOSIyHKplP+iy8Bxt3NvPc6QBlBQUsB9v9+Hr5MvL4x8oUFrhbiHoCnUkFWQRVxmHEO/HcrgbwYTmRbJratuJTYzlscGPmamnUsaSphHGDnFOaTmpjb3VuqmWzfhevzoI+E0mjSp6fdgZSVKgrduFWJYA9l7fi9HU48yb/C8BpfJ3Rhyoz5EvourFJ8kTYuRyWsSiUQikUgkksbk/OXzvLHzDVRUtiZu5ZawW/jtjt+wUEz7t8KR340kLS+NLi5deDT80RrnfXrjp7SzbMd3x78DMIvzCUTo+Ma4jRSVFtHOykCZik58io6GQ4dE2VxNhIbCI48It5SPgTbyiiLO/+sv4VLKEF3oqjmfrK3B27v+4lNkJPTsWWVI1+nOw96DMPcwNsRuoKSsRN9RsK3x8raXicmMYcu9W2jfrn2D1gpxCwEgLiuOU2mnAEi+kkyvxb1QUflq8lfc1r1h7iqJ+dB1KDydcRofJwPvv5ZE9+6wZAmUlMCHH5ruXmoohkqITeTjAx/jauvKvX3ubfBaNpY23N3rbhYdXCSdT5ImRzqfJBKJRCKRSFoA/93zXwCi5kbx2nWv8fvp3/ny8JcmraUp1JCWl8Zb179FwryEWm9aXO1cWXLzEvY+sJdPJn5CgEuASde8mj5efShTy4hKjzI8wcUF3N1FCG9hYd03a4sXwzPP1Hx89GhR3rJ1a0XgcFcDuUT+/vUTn8rKRBh6jx5VhjMLhPPJw96DMI8wSrQlxGfHG79uK+LLw1/ywf4PeDT8UcYFjmvweiHu5eJTZhx7zu3B096TYw8fY2zgWL6d+i1zBsypYwVJU1JZfGrxdOsmhCcnJ3jggebeTYPIK87jxa0vsjp6NXP6z8He2t4s684dOJd+3v0Y7DfYLOtJJMYinU8SiUQikUgkzcz5y+f55ug3zO43mxD3EF677jX2nNvD81ufZ2rXqfi2963Xemc1ZwEIdQ81+pxh/sMY5m+g25yJ9PbqDYjQ8X4d+xmeFBxc0aXOUKe7+uDiAuHhQnzq0kWITI6O1ef5+8OpU8avm5QkxDFdJ61ydM4nd3t3hvkPQ0FhRcQK3hjzRgOeRMvj6yNf88iGR5gcOpkPJ3xY9wlGEOgaiIViQVxWHLvP7WZEpxEEuQWx5d4tZllfYl58nHxwtHFsHeKT7n16//3QvmEOvebg+MXjzN0wl5ziHC7lXiI9P52ZfWby0qiXzHaNMI8wjj581GzrSSTGIp1PEolEIpFIJM3M6zteB9Bn6SiKwheTv6C4rJgnNz9Z7/WSNEkAZnMxmUKwWzB2Vna1h47rSu+6dKmSp2QyY8eKsrtDh6qX3OnQOZ+MzdSKKnduXSU+6TKfPOw9CHEPYVq3aSw6uEgfnN0WiMuM4+H1D3NTyE38evuvhssnTcDG0obOzp3ZeXYnCdkJjOw00izrShoHRVFaT67ZiBEwbx48b3pXuObiUu4lpq6cSqImkVD3UMYGjmXnfTv54ZYfGlzqKpG0BKT4JJFIJBKJRNKMLDm2hCXHl/B/Q/6PTs4VLcGD3YJ5eeTLrI5ezYELB+q1pk58as5MD0sLS3p26Fl76Liu411DXU86xo0TZXIxMdXDxnX4+0N+PmRnG7emTny6SszKyM/A1spWXwrzwogX0BRqWHxosam7b3F8f/x7FEXh6ylfm0140hHiHsKus7sAGNFphFnXlpgfXce7Fo+dnQgbN4eY3YQUlRYxbdU0Mgsy2Xj3Rn674zdW3raSUZ1HNffWJBKzIcUniUQikUgkkmZiz7k9PLL+EcYFjuPtsW9XOz5vyDzc7dxZsGtBvdZN0iThaOOIm52bubZqEr29ehsnPpkrnHfYMLC1Fd/X5nwC43OfoqJElzxn5yrDmQWZeNhXdLIK9wlnfNB4Ptj/AQUlBfXdeYujTFvG0pNLmRA0oVFCpnWh4w7WDjWXZUpaDGEeYZy/cp7c4twa5yw9sZQh3+8JgGMAACAASURBVAyhVFvahDtrG/wS9Qv7Luzj26nfyveDpM3SJsQnRVEmKooSoyjKGUVRWp/HUiKRSCQSyTVHcVkx96y+hwCXAH6e/jNWFtWjOB1tHHlqyFNsiNvAkZQjRq+ddDmJAJeABrflbijdPbuTnp+uL1GrxsiR0Lev+dqh29pWCFnmFJ+uKrkD4XzStSzX8cKIF0jLS+O36N+M3XGLZVviNi5cucD9fe9vlPV14tNQ/6EGX/uSloUudDwmI6bGOb9F/8aB5AP8Ff8XAFHpUUxZOYXFhxajKdQ0yT5bK6fSTmFtYc307tObeysSSaPR6sUnRVEsgc+AG4HuwF2KolT/PwSJRCKRSCSSFoSNpQ0/T/+ZdXetw9XOtcZ5jw96HBdbF97c/abRaydmJzZr3pOOOrtkBQTAsWPQqZPh46Zw441gZWVQMAIqrnX2bN1rabWic56Bta52PgGM6jwKLwcvNsRtqO+uWxzfHf8OV1tXpnSd0ijrB7sJ19sIf1ly1xqo672sqioHkw8CwgEF8Mr2V9gQu4G5G+cS8FGAvhGCpDoxmTEEuwVLIVbSpmn14hMwCDijqmqCqqrFwE/Azc28J4lEIpFIJJI6Gew3mK4eXWud42zrzJODnuT3078TnxVv1LpJmiQCnAPMsMOG0Swt2p98Ughanp6Gj3fsCPb2cOZM3WudPw95eTU7n+yrOp8sFAtuDLmRzWc2t+rSI02hhjWn13BXz7uwtbJtlGsM9hvMgI4DpNOjlRDkGoSlYlnjezk5J5mLuRdxtXXlj5g/iMmJYU30Gp4f8Tyb79nM5aLLbEvc1sS7bj3EZMTU+d8CiaS10xbEJ1+gsm/6QvmYRCKRSCQSSZtgdv/ZAKyIWFHnXE2hhstFl1uE86mzc2dsrWyJzohuuotaW0PPnjUfVxQICYHY2JrnXL6MZV5ejZ3uQHS787DzqDY+KWQSmkIN+87vq+/OWww/R/5MYWkh9/drnJI7EF0CDz90mB4dejTaNSTmo51VO4LdgmvsXnko+RAAr49+ncLSQl4+9TI2ljbMGzyPcYHjsLe2r73z5TVMqbaUM1lnCHOvoUmCRNJGuCZ8fYqiPAQ8BODl5cWOHTua7Nq5ublNej2JpC0h3z8SScOQ76G2RR/nPnx94GtGaEfUmuV0Jlc4enKTW8bf36edD3tj9rLDZkcz76SC7i4uOJ48yUFDv5+yMsIfeojB6elk9uiBO7AnM5PSSnPL1DKyCrLIScup9ju2LbXFUrHki61fUBZY1phPo9H4+OjHBNgHkBOTw47YHc29HUkLIdA6kJ0JO9m2fRsWSlUPw68Jv2KpWBKWF4a/nT/nC84zpeMUog8L4bmzbWd2nt7JDtsdDdpDQVkBqQWpBDoGNmidlsSF/AuUaEtQM9QW8ZktkTQWbUF8Sgb8K/3sVz6mR1XVr4CvAMLDw9XRo0c32eZ27NhBU15PImlLyPePRNIw5HuobfF4+8eZs24OTl2dCPcJr3KspKyEwymHCfcJRxOngSMwefhkBvgMaKbdVjAwYyCHUg61rNfi8OGwZw+jhw8XTqnKLF8OCQkUeHvjvn8/eHkx4uaqiQ6Z+Zmou1TCu4czevDoasuPTB5JRH5Ey3rORnI64zRRO6N474b3GDNsTHNvR9KCOOtylk1/bKJDjw707FDVXbjg3AL6evdl/PXjeczmMV7a9hILb1tIiLsIlh+VO4pVkau47rrrTG6EoFW1jP9xPPsu7EPzbw3WltZ1n9QKWBezDg7BLSNuYYjfkObejkTSaLSFsrtDQIiiKF0URbEB/gWsbeY9SSQSiUQikZiV6d2nY2Npw/KTy/VjhaWF/HvLv/H/0J9hS4bx9u63SdIkAbSIsjsQuU+J2YkUlhY291YqCA2FsjJITKw6XlICr70Gffpw8Mcf4YMPYMGCaqdn5GcAVOt2p2NSyCQi0iI4d/mc2bfe2Pxw/AcsFUtm9J7R3FuRtDBGdR4FwK6zu6qMa1Uth1MOM8h3EADPDHuGZYOW6YUngD5efdAUajh/xbguk9Hp0cRmVi2NXfjPQrYmbiW/JJ9ETWINZ7YOrhRdIeJSBCDCxgG6usvMJ0nbptWLT6qqlgKPA38C0cDPqqpGNu+uJBKJRCKRSMyLi60Lk0Mns/LUSvKK8yjTljFj9Qze/eddhvoPZYjfED499CnR6dE42TjhZufW3FsGoJtHN1TUajeSzUpI+U1xXFzV8R9+gPh4WLAA1coKnnoK5sypdnpmQSZAtW53Om4KuQmALfFbzLfnJqBMW8bSk0u5MeRGvB29m3s7khZGgEsAvk6+evHpxa0vMmnFJPZf2M+VoisM9BkIgJWFFd62VV8/fb37AnD84nGjrjXr91lMWzUNVVUBOJJyhBe3vUh3T5G/FpMRY5bn1Fy8tv01wr8OJz0vnZiMGDo4dKi166lE0hZo9eITgKqqG1VVDVVVNUhV1beaez8SiUQikUgkjcHDAx7mUt4lun/enTt+vYPfon/jg/EfsObONfx37H/JyM9g6cmlBLgEmFzaYm6apeNdXYSGiserQ8c/+ggGDoTJk2s9Xe98sjfsfArzCKN9u/YcTT3a4K02JXvO7SElJ4VZfWY191YkLRBFURjVeRS7z+0mPiued/e+y8a4jYz/cTyA3vlkiF5evVBQOHGx7tBxVVWJzogmKj2KYxePATB/y3w87T35419/ALQsMdsE/kr4i+KyYlZErOB05mnpepJcE7QJ8UkikUgkEonkWmB80Hh2378b53bOrI5ezdNDnuapoU8BcF3n6+jn3Y/C0sIWU3IHEOoeioJCdHoTdryrC3d3cHGp6nzSdbebPFl0xKuFzPzanU8WigW9vXq3uu5eR1KPAOK1JJEYYlTnUaTkpPDQ+oewsrBi2bRlKIqCk42TXmg2hKONI8FuwRy/VLfz6VLeJXKLcwFYemIpxy8eZ0fSDp4a8hTBbsG427nrS9VaIxdzLxKVLjppfn/ie2IyYmr93UkkbYW2EDgukUgkEolEcs0wotMIjjx0hMMphxnsN1g/rigKzwx9hhlrZrQo8cnO2o4AlwBOZ7Yg55OiCPdTZedTRASoKvTpU+fpZy+fxUKxwMvBq8Y5fb368v2J79Gq2mqdwVoqxy8ex8fJB08Hz+beiqSFost92pa4jScGPcE9ve8h3Cec9Px0LC0saz23j3cfjqUKJ1OZtqzG+XGZQhT2tPdk5amVpOen42DtwJwBogS2q0fXVu182p64HYD7+t7H98e/B2Tek+TaoHX8l1AikUgkEolEosfa0pqh/kOriRp39LiDqV2nMjm09rKxpibMI6xlOZ9AiE+VnU8nyl1KRohPJy+dJMQtBDtruxrn9PXuS25xLgnZCQaPb4jdwKa4TXVeKy0vjWf/epYt8Vso05ZVORadHl1trCGcuHRCn80jkRiim0c3POw9sLG04bnhzwFCDBrRaUSd5/b16kt8djyvbn8V53eceWnrS/pMp8rEZYn35fMjnictL40VESu4v+/9uNi6AMJN2ZqdT1sTt+Lczpl3x72LjaUNIH6HEklbR4pPEolEIpFIJG0Ea0tr/vjXH4wPGt/cW6lCd8/uRGdEE58V39xbqSAkBM6dg4IC8fOJE+DsDJ0713nqiUsn6ONdu0ilO67LuFkRsYLItIqeOM9vfZ7HNz1e57V+OvUT7+97n/HLxhP4SSCrTq2iTFvG/L/m0/3z7iw9sbTONXSc1ZxlR9IOg8eKSouISo+ij1fd4pvk2kVRFF4c8SLv3fAefu396nWu7j2xYNcCOrt05u09b/PUn09VE6DiMuOwsrDi0fBHcbdzR0Fh3pB5+uNd3btyMfciV4quNPwJNQPbErcxOmA0ng6eTO06FUCW3UmuCaT4JJFIJBKJRCJpVOYOnIuDtQNTf5racm4YdaHjZ86Ix+PHheupjrynnKIcErIT6N2hd63zenj2wFKx5PjF41y4ckHfmRBEa/r4rHgSshPqFOSOXzyOp70nP0//GU97T/71278IXhTMwn0L9ceN5ZXtrzBu6Tj2nd9X7VhUehSl2lLpfJLUyVNDn+LJwU/W+7zRAaOZ1WcW6+5ax6lHTzFv8Dw+PvAxnx/6vMq8uKw4Al0DsbO24z+j/8PzI54n2C1YfzzUXbx3W2PpXWJ2IomaRMZ2GQvAK6Ne4fGBjxPoGtjMO5NIGh8pPkkkEolEIpFIGpVA10B+veNXYjJimLF6hsFSmyYnJEQ8xsWBVgsnTxpVcheRFgFAb6/axSc7azvCPMI4cekE/9/efcdHVeX/H399kgABpITelECkhyZdpErTRQUVZS2r65d11XW/smvZVb4/F2yrX9v6tbvugmXXig1XxEZbu0gLPdKlBAhNSiDJ+f1x72STMJPMJJlMSN7Px+M+Jrn33HPPnZkzN/PJuZ/z8rKXcbi86eG3HdzGkWxvxNVHP3xUZD1Ldy6lZ/OeTOgyga8mfcVDIx/i0LFDPDr6UXo268nazPC/gC/PWE6Oy+Hyty4/IQgYSI6ukU8SLadUP4UZ42Ywtv1YzIxHRz9Kr+a9mL5keoFy6zLX0a6B1z9/0/c33Hf2fQW2B/IjnYzBp7kbvXxPw9sMB7zPkcfPffykyQsnUhp6l4uIiIhI1A1vM5x7ht/DrLWz8gI4MRUIPi1aBOvXe7PdhZnvCSj2tjvw8j4t3rE4L6nwmj1rcM7lJVQGb8r1UI7nHCctIy0vIJQQl8DNZ95Mxq0ZTO4/OaLEyzm5OazatYohrYewef9mrnv/OnJdbt72JTuWUKtarQIjTESiycy4rOtlLNq+KK9POOdIz0zPCz4Fk9IgBcPygrknk883f06jWo3o3LhzrJsiUu4UfBIRERGRcnFFtyuA4kf7lIu6deFnP4Onn4YFC7x1YQSflu5YSv3E+pxa99Riy3Zv2p2tB7ayZs8aujftzr6j+9h1eBfpmd6tfqNTRvPZhs84nnM86P5r9qzhWM6xkLfCtW/Qno37NpKVnVVsW37Y+wNZOVlc1f0qpg2dxitpr3Dpm5dy5Lg3AmvpzqV0bdK12BnLRMrSJV0uwTBeTXsV8EYFHj5+mHYNQwefEhMSSa6fHNGov6JMXzz9hFv/omVd5jo6NeqEFXN7r0hlpOCTiIiIiJSLVnVb0blx52KDTzm5OTz73bNs2b8lug2aOhX27oXbb4f4eOjSpdhdlmUso1vTbmF9eQwEjRITEpkyaAoAq3evZl3mOqrHV+eantdwIOsA3/z4TdD9A/mcQt0K175he3JdbsgZ9fILJDtPbZLKHYPu4OFRDzNz5UyGvTCMnT/tZMmOJcr3JOWuVd1WDGo9iFfSXvFGBfoz3RU18gm82eHKYuTTjCUzuOa9a5j84WR2H95d6vqKk56ZrtGFUmUp+CQiIiIi5WZ0ymgWbFqQN+KmsKzsLCbOnMh1/7qOexbcU+rj7T68m+vfvz5vtFEBvXvD2LGQkQEdOkDNmkXWletyWb5zebHJxgMCt+aN7ziePi37ALBm9xrSM9NJSUphZNuRxFlcyGDc0h1LqRFfI+Q07JEkXl6xyws+dWrsjbr4/YDfM/OSmSzbuYyez/Zk39F9yvckMTGxy0RW7V7F8ozlebffFTXyCbxRf2v3rC1V/rjZ62Yz6b1J9Grei+O5x3lp6Uslrisch44dYvtP2xV8kipLwScRERERKTejUkaRlZPFgk0LTtiWk5vD+NfG8+bKN2lRpwVzfphT6uTk0xdP55lFzzB0xtDgQZqpU73HMG6527hvIwePHQwr3xNAk9pNmH7BdO47+z5Oq3caiQmJrNmzhnWZ6zi9wekk1Uyib8u+3LXgLmyakfRAEqNeGsWT3zwJwJKdS0htkkpCXELQ+gNf0MMNPiXXT+aU6qfkrRvfaTzzr56fl/sp3PMSKUsXd76YeItn2vxprNq9iurx1Yu9rbV7s+4cOn6IRdsXleiYzjlu+OAGujTpwtyr5tKvZT+eX/x8VCdD+GGvN7NlSlJK1I4hUpEp+CQiIiIi5WZw68FUj68edLTP1z9+zez02Tw48kH+Z9D/sGn/puAjliIwc9VMUpJSOJZzjKEzhvLjgR8LFujVC559Fm69tdi6AsnGi5vpLr+re1xNcv1k4iyO9g3bs2r3qgIJlR8/53HuHHwndw6+k0s6X8K2g9u4cfaNvL7i9WJvhaufWJ8mtZuEFXxKy0ijS+MTbyvs07IPX0/6mqfOfYr+rfqHfV4iZaVx7cbcd/Z9vLXqLR7/5nFSklKKzT02vuN4asTX4IUlL5TomF9s+YKN+zZyy4BbqFOjDpPOmMTKXSv5autXJaovHD9kesEnjXySqkrBJxEREREpN7Wq1WLQaYOCzvI2J30OcRbHNT2vYfTpo711P8wp8bG2HtjK1z9+zTU9r2HWz2ex/aftfJj+4YkFr70WevYstr7F2xdjWNAgTjg6NOzAwk0LOZp9NG/UUu8WvZk2bBrThk3j2fOeZcl1S+jdojfXzrqW3Yd3F3srXIeGHYpNvHw85zhrdq8htUlq0O2t67fm+j7Xa7p3iZnbBt7GI6MeITs3O+920qIk1UxiXMdx/DPtn2El3C/s5WUvUzOhJuM6jgPg0i6XUrtabZ7//vmI6wpXIJCe0kAjn6Rq0hVGRERERMrV6JTRpGWksf3g9gLrP1r/EX1a9KFBzQa0TWpLSlJKqWbGe3vV2wBc1OkierXoRUJcQt6tLyXx2cbP6NWiF7Wr1y7R/h0bdeTgsYNA6NEPCXEJTL9gOkeyvZxYxSUBb9+wfbGJl9Mz0zmee7zEQTOR8vC7Ab/jvYnvcfewu8Mq/8sevyTzSCaz1s6K6DjHco7x+srXGddxHHVq1AGgTo06TOgygZmrZubdhhqw/eB27p5/N9m52REdp7D0zHQa1WpE/cT6papH5GSl4JOIiIiIlKt+rfoBsHTn0rx1e4/s5Zsfv2F0yui8daNSRjF341yO5Rwr0XFmrppJ58ad6dCoAwlxCSTXTy5x8Olg1kG+2voVI9qMKNH+4I1SCihqNq/UJqncM+we6tWoV2wepvYN27Pz0E72H90fskwg2XiXJgo+ScV2Xofz6Nq0a1hlR7QdQcs6LZmxZEZEx5iTPofMI5lc3vXyAuuHtB7C/qz9rN69usD6Wz6+hTvn3cncDXOD1rf3yF7umn8XaRlpRR43fW+68j1Jlabgk4iIiIiUq8AInBUZK/LWfbL+E3Jdbt7tduAFn3469lPQPCw/ZP7A0h1LT1gfkHEog4WbF3JRp4vy1qUkpeTlXYnUgk0LyM7NZkTbUgSf/FnrqsdXp1XdVkWWvXXgrWTcmkHdGnWLLBe4RSkwRX0wKzJWYBgdG3WMsMUiFVd8XDy/6P4LZqfP5q75d7H3yN6QZbOys+j71750eKIDN314E41qNWJUyqgCZQa0GgBQ4PNm6Y6lvLL8FYACt+yu3bOWhZsW8rfv/0anJzvxp3l/4px/nEPGoYyQbUjPTFe+J6nSFHwSERERkXLVsFZDmtZuStqu/4wUmPPDHOrVqEffln3z1g1LHka8xTNrzX9uq3HO8cQ3T5D6dCpnPHcGf1745xNukwFvdEOuy2V8x/F561KSUkjPTC/RjFafrP+ExIREBp42MOJ9AwIjn8JJqAxekKo4geDTkh1Lgm7fd3Qfb61+i9MbnE6tarUiaK1Ixff7Ab9nbPux/Gnen0j5vxS2HtgatNwT3zzBt9u+Jbl+MgCT+02mWny1AmXaNWxHUmJSgeDTlM+mUC+xHv1a9svLP/fV1q/o8EQHBs8YzKRZk2hVtxUvjnuR3Yd3c+mblwa9PS8rO4st+7co+CRVmoJPIiIiIlLuujTpkjfyyTnHnB/mMKLtCBLiEvLK1Eusx7iO4/jr93/lQNYBAK5+92p+O/u3DEsexoTOE7jjszu48LULycnNKVD/ou2LqJlQs8DMdCkNUtiftZ/MI5kRt/fj9R8z6LRBJCYkluR0AS+vTKu6rfKSjZeFlKQUalWrxa9m/YoOT3Tg7vl3s+/oPgD2HN7DiBdHsGrXKh4a9VCZHVOkomhUqxHvTnyXj674iL1H9zJ/4/wTyuw5vId7Ft7DmNPHMOeKOay/aT1TBk85oVycxdGvVT++3PolAJ9v/px/rfsXfxj4ByZ0nsCKXSvYsn8LT3zzBHVr1GXOFXP49lff8vWkr7my+5U8N/Y55m2cx0NfnNjXNuzbgMMp+CRVmoJPIiIiIlLuUhunsnLXSnJdLqt2r2Lrga0F8j0F3H7W7ezP2s8z3z3De2ve48WlL3L7Wbfzr8v+xSsXvcLDox7m3TXvct/C+wrst3jHYro3615ghFEg30qkeZ+2H9zOil0rSnXLXcA/LvwH9599f6nrCaiRUINl1y3j0dGPclq907hz3p20/ktrujzVheYPNyctI413Jr7D+R3OL7NjilQ0Q5KHUC2uWtC8S3fNv4sDWQd4aGTxAdgBrQawImMFB7IO8MDnD9CoViN+2/e3jDl9DAD/WP4P3lj5Bld1v4pRKaPo3aJ33mfMld2vZGjyUF5a9tIJ9ebNdKecT1KFKfgkIiIiIuWuS5MuHDp+iM37NzMn3budJX++p4BeLXoxsu1IHvnyEW784EZSm6Qybeg0zAwz43f9f8flXS9n6vypLNy0EIBcl8uSHUvo2axngboCU5xHmvfp0w2fApRJ8Glw68F0atyp1PXkl9Ighcn9J/PxlR+z+NeLOb/D+bRr0I6bB9zMwl8u5Nx255bp8UQqmurx1enQqEOBW3kBth3cxtPfPc2knpPCSrjfv1V/HI5/Lv8n7699n+t7X0/t6rXp3LgzLeu0ZOq8qRzLOcb1va8Puv9FnS5i5a6VJyQtDwSfNPJJqjIFn0RERESk3OVPOj7nhzl0bNSR0+qdFrTsHYPuYOehnWw5sIXnxj5XIFeLmfH0z56mbVJbrnj7CrJzs9mwdwMHsg6cEHxqm9QWiHzk09wNc0lKTKJHsx4R7RcLPZr14KXxL/HOxHf484g/06dln1g3SaRcdGncpcAkBgDPLXqO7Nxsbht4W1h1BHLO3fbxbSTEJeQFmcyMMaePISsni6HJQ0MGkAM55maunAlATm4O6ZnpfLHlC+rWqEujWo1KdG4ilYGCTyIiIiJS7gKjEBZtX8T8TfOD3nIXMKT1EK7odgXThk5jwKkDTthep0Yd7j/7fjbv38zCTQtZvGMxAD2bFww+1apWi+anNI84+PTd9u/o27IvcaY/nUUqqtQmqWzYt4Gfjv0EwLGcYzy76FnOaXdO3qjH4tRPrE/nxp05eOwgP+/6c5rXaZ63LTCC8IbeN4Tcv2XdlgxoNYCZq2Zy+Phhzpp+Fu0eb8cbK9+gR7MemFkpzlDk5JZQfBERERERkbJVP7E+Leq04Pnvn+do9tEig09mxkvjT8yjkt+Y08eQmJDI26vfpk71OsRbPKlNUk8ol9IgJaLb7o4cP8KKjBWMbTc27H1EpPwF+vvKXSvp27Ivb616ix0/7eDGPjdGVE//lv1ZuWslk/tNLrB+XMdxzL1qLkNaDyly/ws7XcitH9/K+a+cz9dbv+ahkQ/Rv1X/k2LkpEg06d83IiIiIhITXRp3YcuBLVSPr87g1oNLVVft6rUZc/oY3l79Nt/v+J7OjTsHnZkuJSklopFPyzOWk+NyOKP5GaVqn4hEVyD4FEg6/uS3T5KSlBI0l1xRbh14K8+Nfe6EkZNxFsfQ5KHFjl66sNOFgJcr7oERD3DzmTcz8LSB1K5eO6J2iFQ2Cj6JiIiISEwE8j4NOm1QmXwxG99xPFsPbOWT9Z+c8MUxICUphW0Ht3Hk+JGw6ly0bRHgJT4XkYqrTf02JCYkkpaRxqJti/j35n9zQ58bIr5dtmOjjvyq169K3I62SW2Z0HkC/933v7nlzFtKXI9IZVOq4JOZTTWzH81sib+cm2/b7WaWbmZrzGx0vvVj/HXpZvbHfOvbmNnX/vrXzKy6v76G/3u6vz25uGOIiIiISMUXyPtU1C13kRjbfiwJcQlk52ZzRrPgI5UCs02t37s+rDoXbV9Eg5oNaF2vdZm0UUSiIz4uns6NO7Ni1woe/OJB6taoy6QzJsWkLa9PeJ3HznlMOZ5E8imLkU+POud6+MsHAGbWGZgIdAHGAE+ZWbyZxQNPAucAnYGf+2UBHvDrOh3YC/yXv/6/gL3++kf9ciGPUQbnIyIiIiLlYHib4XRt0pWLO19cJvU1qNmAoclDgROTjQcEEg+He+vdou2L6NW8l75EipwEUpuk8tXWr3hj5Rv8utevqVujbqybJCK+aN12dwHwqnMuyzm3AUgH+vpLunNuvXPuGPAqcIF5V/PhwJv+/i8A4/LV9YL/85vA2X75UMcQERERkZNA26S2LLt+GW2S2pRZnb/s8Usa1GxAz2bBg0/tGrQDYM3uNcXWdTT7KGkZafRqrlvuRE4GqY1TOZB1gHiL56Z+N8W6OSKST1kEn240s2Vm9nczS/LXtQS25Cuz1V8Xan1DYJ9zLrvQ+gJ1+dv3++VD1SUiIiIiVdRlXS9j1627qFOjTtDtSTWTaFGnBcszlhdb1/Kdy8nOzVa+J5GTRCDp+OXdLqdlXX01FKlIEoorYGafAM2CbJoCPA3cDTj/8WHgmrJsYFkws2uBawGaNm3KvHnzyu3YP/30U7keT6QyUf8RKR31IZHgWiW04sv1XwbtH8457l19LzsO7yBlnXeL3vFNx5mXcWJZEQkuVtcfl+0Y3ng4I6uP1PVPpIIpNvjknBsRTkVm9lfgff/XH4FT821u5a8jxPo9QH0zS/BHN+UvH6hrq5klAPX88kUdo/A5PAc8B9C7d283dOjQcE6pTMybN4/yPJ5IZaL+I1I66kMiwQ05PoTHvn6MgYMGUi2+WoFtr6a9yqcLPiUxLpEVP60gKTGJiWMmKueTSARief051aLv+wAAE1FJREFUd8S5xRcSkXJX2tnumuf7dTyQ5v/8HjDRn6muDdAO+Ab4Fmjnz2xXHS9h+HvOOQfMBQLZJq8C3s1X11X+zxcDn/nlQx1DRERERCSkbk27cSznGOsy1xVYv/fIXiZ/OJneLXrz5oA3uWfYPdw7/F4FnkREREqp2JFPxfhfM+uBd9vdRuDXAM65FWb2OrASyAZ+45zLATCzG4E5QDzwd+fcCr+uPwCvmtk9wGLgb/76vwEvmVk6kIkXsCryGCIiIiIioXRt0hWAZTuX0blx57z1Uz6bwq7Du5h9+Wz2r9nPlMFTYtVEERGRSqVUwSfn3JVFbLsXuDfI+g+AD4KsX0+Q2eqcc0eBCZEcQ0REREQklI6NOpIQl8DyncuZmDoRgJzcHF5e9jJXdruSns17Mm/NvNg2UkREpBIpi9nuREREREROGjUSatChYQeWZSzLW7dy10oOHjvI8DbDY9gyERGRyknBJxERERGpcro17cbyncvzfv9y65cAnHnqmbFqkoiISKWl4JOIiIiIVDldm3Rl0/5N7D+6H/CCT41qNSIlKSXGLRMREal8FHwSERERkSqna1Mv6XhahjdZ8xdbvmBAqwGa2U5ERCQKFHwSERERkSqnW9NuAHy//Xv2HN7D2j1rGdBqQIxbJSIiUjmVarY7EREREZGT0al1TyW1SSoPf/kwzes0B2DAqQo+iYiIRINGPomIiIhIlWNmPHnuk2zav4nffPAb4i2ePi36xLpZIiIilZKCTyIiIiJSJQ1uPZgru11JxqEMujfrTu3qtWPdJBERkUpJwScRERERqbIeHPkgDWo2YHjy8Fg3RUREpNJSzicRERERqbKantKUtTeu5ZTqp8S6KSIiIpWWgk8iIiIiUqU1rNUw1k0QERGp1HTbnYiIiIiIiIiIRI2CTyIiIiIiIiIiEjUKPomIiIiIiIiISNQo+CQiIiIiIiIiIlGj4JOIiIiIiIiIiESNgk8iIiIiIiIiIhI1Cj6JiIiIiIiIiEjUKPgkIiIiIiIiIiJRo+CTiIiIiIiIiIhEjYJPIiIiIiIiIiISNeaci3UbypWZ7QI2leMhGwG7y/F4IpWJ+o9I6agPiZSc+o9Iyan/iFRNrZ1zjYNtqHLBp/JmZt8553rHuh0iJyP1H5HSUR8SKTn1H5GSU/8RkcJ0252IiIiIiIiIiESNgk8iIiIiIiIiIhI1Cj5F33OxboDISUz9R6R01IdESk79R6Tk1H9EpADlfBIRERERERERkajRyCcREREREREREYkaBZ9ERERERERERCRqKmzwycwamtkkM3vbzNLN7IiZ7Tezf5vZf5lZ0Lab2Zlm9oGZZfr7LDOzyWYWH6RsfTO71cz+YWYrzSzbzJyZjSimbW3M7BkzW21mh81sp5l9aWbXmln1CM9znJm95te112/zOjN7xcwinp7UzDqZ2TQze9fMNvvn48wsIUT52mZ2uZn902/DITM7aGbfmdnNkZ6PVGxVpV+VZX3mGWNmj5vZEr+fHjWzNWb2FzNrGmnbpGKoKv0h1teFktZnZvH+fgvNbIf/PKw1s+lm1iWSNkj5quB96wwze8PvU8f8PvFUST7LzWxGvv4UbOkYQV3VzGy8mf3NzNLM7ID/nl9uZneZWZ0Q+z1gZp+a2Rb/Ocs0s8Vm9iczaxjpOUn5qUL9pK+Z/dnMZvuf5c7MtoaxXysz+7uZbTOzLDPbaN7fXUklaMNIM3vY7yt7/Db8O8x9LzazOWa227y//zabdz3tH2k7RKq6CpvzycyuA54GtgNzgc1AU+BCoB4wE5jg8p2AmV3grz8KvAZkAucBHYA3nXMTCh2jB7DY/3UrUM0/xkjn3Cch2tXHb09N4EMgDajrH6cl8BEwxoX5xJrZdGAI8C2wDTgGnA78DKgOXOucez6cuvz6JgOPAjnAOiAZSASqOeeyg5QfA8zGe67mAulAEnA+0Az4AjjbOXc03DZIxVWF+lWZ1WdmicARvL65AFgKxAPDgW7ATmCQc25dOG2TiqMK9YeYXhdKWp+ZvQZcgve8zQIOAl2BMcBx4Bzn3GfhtEHKVwXuW2OBt4AEvPfUWqAj3t9cPwIDnXObIzjPGcBVwGPAviBFnnDO7Q6zro7AKuAQ3nO2EjgFGA2k+G0dWLg+MzsGfO+XzwBqA/2B3nh/V/Z3zm0J95yk/FShfvIX4Ca8z+2VQHfgR+dcqyL2ScG7NjQB3gVWA32BYcAavw17ImjDO8AFeM9bOpAKfO6cO6uIfRKAF4DL8K6dHwP78a5bA/D695PhtkFEAOdchVzwvtidB8QVWt8M78PZARflW18X76KbBfTOtz4R78PLARML1ZUEnA008H+f4ZcbUUS7/uWXuarQ+trACn/b4AjOMzHE+q54H5D7gOoR1NcB6AfU9H/f6LcpIUT5HsDlhY8B1AEW+fveHOv3g5ayWapQvyqz+vD+UJsCJBVaHwc849c1K9avrZbIlyrUH2J6XShJfUAff30aUKvQtl/62z6L9XtIS8jXvML1Lb+uHX6ZCwtt+7m//r0IzzNwzOQyeM5aAjcAtQutrw687x/n8WDnFaK+e/19nor1+0FLyNe8qvSTHkDPwDXAr2NrMfvM8cv9ttD6R/z1z0TYhgFAF7x/Hib7dfy7mH0Cfeiewq+Rv71arN9DWrScbEvMG1CiRsMdhS/CwDX+uheClB/ub5tfTL1FfiD7ZVb5ZZKCbPu/wheKUp7nYr++lqWoYyNFfMkoZt/L0BfrKrNUpn5VXv0UaOHXdTDWr5+Wsl0qU38IUkeFuS6Eqg+41F//WJB9Gvjblsf6faKlRK95TPpWvnq+DbF9CZALtI7gXALHTI7yc3ZmpO95vNElDvg41q+5lhK95pWmnwSpo8jgE95IPwds4MTAXB3gJ7wRgrVLePxkigk+4QUAs4AvY/1e0KKlMi0VNudTMY77j/lvFxjuP34YpPwC4DBwppnVKOWxV/iPP8u/0sxq+W04DHxZymNgZu3x/lu9G284biwEe56l8qpM/apc+inqI5VZZeoPZams3/Oh6gs8B8PNrGahbWP9x6C3jEiFF6u+1cx/XB9i+3rA8rUlEueY2R/M7BbzcnnWLVELQytJvzvPf1xWxm2R8lEZ+0m4hvmPHznncvNvcM4dBD4HauHdXhotF+ONOnzVzGr6eZ/+aGa/MbPuUTyuSKUWNNloRebff/sL/9f8H74d/Me1hfdxzmWb2Qa84ZZt8f6rXFL/g/cfqBlmdgnevct18f4YTgAuds5ti7RSP/HfWXgfdG34zx8Nkwp/8Jaja/zHYBc5qUQqYb+KSj8NQn2kEqqE/aEslfV7Pmh9zrk0M3sU+B2w2szex8v51AUv59OreM+TnERi3LcCuZLahNjetlBbIvFUod8PmtntruzywRTb78zsFrwcUfXw8j2dhRd4ur+M2iDlpBL3k3CFPE/fOmAU0B74NEpt6OM/1sLLN3Va/o1mNhP4hXPucJSOL1IpnXTBJ7yLaCrwgXNuTr719fzH/SH2C6yvX5qDO+dW+8lgX8ELEAWCRMeBvwBflbDqEcAf8v2+A7i60DmWGzO7Ee8P/CXA32PRBilXlapfRbGf5vHr/xPeF2J9Ca5cKlV/KCtlfV0orj7n3O/NbA1esvQb8m1ahHfbyaHStkHKXSz71ud4eTT7mNkFzrl3Axv8IG9gNEMkM2ktAD7A65MZeLdij8e7NjxhZsedc8+Vos2Y2fnAr/GSRf9vEUVvwUskHfAh3t+Ru0pzfImJytZPIlUu19piNPEf78Z7TsbhBcNSgSeAi/Bu/7s6im0QqXROquCTmf03cDNeBPrKGLWhJ/AO3h8Zg/D+aK4PXIGXkG6cmfVxzu33y0/mxA/Hd5xzS/KvcM79EfijmdXGi+TfAsw2s//nnLs33/HDqq+U53gh3hecHXh5RY4Xs4ucxCpjv4pWP83X3vZ4M8BUw0vu+UMpTl8qkMrYH8qoTSGvC2ZWH5gcZLe/OOeCzQBW7HXGzAxvBrEb8IK7L+N9IeqBF4yabWY3luHIEomyWPct59whM7sJL+fNW2b2Ht4Iio54owqX4L2/8kabm9nUIFXNcM5t9OssHDRdDzzsB01nAfea2d+ccznh1FeYmZ0J/BMvv81Fzrm9RZxfM3+fpngjJ+8HFpvZWOfc96H2k4qlMvaTaCvJNSgMgdQ0mcB5zrkD/u9f+wHhtcCVZjbFOfdjCY8hUvXEOulUuAtwI15yuBVAsyDbv/W39wqxf5q/vVMRx5hB0Un4EvA+gA+HaMOj/v5T863b6K/Lv1wd5jnPxvtw71PS+ogwsSxeZP8Y3vS8HWL9umuJ7lIZ+1W0+ylecPhHv5+UyeQCWirGUhn7Q4hjlOl1gf8kby28JJekPr/M1X4djwTZ1sx/fg4Cp8T6faMlrPdQzPtWvnLD8EYF7cVLKLwE7xanW/z9p+UrG+x9PTTMc97ql+9akvrwZufaDxzAm1Y+0ue8tX9+abF+/bWE/ZpViX5C8QnHH/TLBJ1VFW/kkQOu93+P9BoUKF9UwvHX/DKvhNj+ib/9gli/b7RoOZmWkyLhuP9f3cfxPlSHOed2BCm2xn9sH2T/BLx7l7MJnUAvHB2B04FVIdow13/sFVjhnEt2zlmhZUaYx/sQL6nfkDKqr0hmNgF4A9gJDHHOrSlmFzmJVeJ+FbV+amadgHlAI2CCc25mRGcqFVYl7g+lEs51wTm3McjxzQX5r3cE15lAUvG5hTf4z8tqvPw20cw7ImWgAvUtAJxzc51zY5xzSc65Gs65Hs65F4FufpFv85UN9r6eF+ahAre71Y60PjMbxH+mmh/lnPu8BOe5CS9fXBczaxTp/lK+qnA/CSbkefra+Y9r/eOHfQ0qQRtCjZwKjEIsPCGGiBShwgefzOwPeP/pXYL3YZwRouhn/uOYINsG4yWM+8I5l1WK5gRmjwh1EW/sPx4rxTHya+k/Rn0mLTO7HC+/yDa8LwTron1MiZ1K3q+i0k/NrCte4KkBcKHLlwdBTm6VvD+UWFlfFyKsL/A8NA6xvdyeBym5Cta3QvJv2zkPL2D0cRnUVw8vkOzwpouPZN/heP98zAZGOudKk+Othf+YU4o6JMqqaj8pQuCfDqPMrMB3VTOrAwzEG/0azfyHgdlUU0Ns7+I/RtS/Raq80gybivYC/D+8C/d3QINiytbF+zDMAnrnW58IfOHXM7GYOmZQ9O0QNfAi3Q5vFrr82+rjzSzhgBvCPL8aQPcQ2/rgDbXOBjqW4jncSDG3VwBX4f1hsh5oHevXXUt0lyrSr8qsPn+/HngzwBwGRsf6NdRSdktl7w8hjlHu14VI6wNu89uYBtQrtO06f9t2ID7W7yEtIV/DCtW3/DJ1gqyrBbzr73tdBOfXDGgVZP0pwNt+fR9F+JyN8q8zu4GeYZRvX7h/+OvjgHv9Nnwe6/eCliJfw0rdT0LUX+Rtd36ZwMi/3xZa/4i//plSHD+Z4m+7M2CxX258oW2/8tev0zVIi5bIFnPOURGZ2VV4H5A5eMNQg814sNHlu7XAzMYBbwJH8aZhzgTOxxuW/yZwiSt0wmb2EP/5D/NZQArwEd4fteAlbX2nULum430ofYr3wZTkH6cxXhR+qAvjvw7+fxD24k2Fm4aXH6AW0AkY7he71Tn3cHF15auzEfBQvlUX4w35fhHvgxLgfufcar/8MLzofhzebENbglS7zzn3l3DbIBVXVehXZV2fmSUB6Xgjnj4F/h2iaGkSW0oMVKH+ENPrQknqM7NT8GYY6oaXeP09vNsfzsC7PubgPddvhdMGKV8VuG/diJfMeZ5fpiHeSI7mwGPOuWBJi0Od41C89/WXeLf/ZOCNWB+JF5hajzeKZXOY9XXAG/mSCMzE+7vwBM65qfn2mQz8Ge+6tAHYgzfj3RCgLV5C/7OdcyvDPS8pP1Whn/j1dQT+mG/VVXhB1jfyrbvFObc73z4peAG1JnhBr1VAP7xcVGuBM51zeyJow1nAJP/XU/Bmq8vAy68LgHPu6kL7dAPm482+N8s/bhfgHLxJAEY5574Itw0iQsUd+QRMJXjyuPzLvCD7DcSb9nYvcARYDvyOEJFpgidqzb9MDbLPYOAtvA/k43hTbS7C+2BNjOAcq+HN4vMxXuDpqN/mdLwvBf1K8Lwlh/G8Dc1X/uowym+M9ftBS9ksVaFflXV9YfYpR4jElloq7lJV+kOsrwslrQ/vC8KdeF/ID/nPwzbgdaBvrN8/Wop8zStk3wL6+/Vvx7tlc7f/+zklOMdTgWeB7/FGoxzHCx58A0whyOiRYuobGsZz5grtE5j2fYl/Ltl+G771X4MiR9Joie1SFfqJX1847+3kIPudivePmEA7NuHNkppUgjZcHUnfyrdfG7wA4Ta/j2/Hm31VkzJp0VKCpcKOfBIRERERERERkZNfhU84LiIiIiIiIiIiJy8Fn0REREREREREJGoUfBIRERERERERkahR8ElERERERERERKJGwScREREREREREYkaBZ9ERERERERERCRqFHwSEREREREREZGoUfBJRERERERERESiRsEnERERERERERGJGgWfREREREREREQkav4/oWR7E1RKI2sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.arange(sp500_rm.shape[0])\n",
    "plt.figure( figsize = [20,5])\n",
    "SP = plt.axes()\n",
    "SP.plot(X, sp500_rm['cum_RM'], color = 'blue', label = 'Risk Metrics')\n",
    "SP.plot(X, sp500_rm['cum_HS'], color = 'red', label = 'HS')\n",
    "SP.plot(X, sp500_rm['cum_WHS'], color = 'green', label = 'WHS')\n",
    "\n",
    "xticks = np.arange(0, sp500_rm.shape[0] + 1, np.int((sp500_rm.shape[0] + 1) / 5))\n",
    "xticklabel = sp500_rm.loc[:,'date'].apply(lambda x:str(x.year) + '-' +str(x.month) + '-' +str(x.day))\n",
    "SP.set_xticks(xticks)\n",
    "SP.set_xticklabels(xticklabel[xticks], size = 20)\n",
    "plt.grid()\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### AR(1) Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, plot the graph and set the formula"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ts_plot(data, lags=None, title=\"\"):\n",
    "    if not isinstance(data,pd.Series):\n",
    "        data = pd.Series(data)\n",
    "        \n",
    "    #matplotlib官方提供了五种不同的图形风格，\n",
    "    #包括bmh、ggplot、dark_background、fivethirtyeight和grayscale\n",
    "    with plt.style.context('ggplot'):\n",
    "        fig = plt.figure(figsize=(10,8))\n",
    "        layout = (3,2)\n",
    "        # Set the layout\n",
    "        ts_ax = plt.subplot2grid(layout, (0,0), colspan = 2)\n",
    "        acf_ax = plt.subplot2grid(layout, (1,0))\n",
    "        pacf_ax = plt.subplot2grid(layout,(1,1))\n",
    "        qq_ax = plt.subplot2grid(layout,(2,0))\n",
    "        pp_ax = plt.subplot2grid(layout,(2,1))\n",
    "        # plot the graph time series data\n",
    "        data.plot(ax=ts_ax)\n",
    "        ts_ax.set_title(title + \"  Time Series Graph\")\n",
    "        # Graph acf\n",
    "        smt.graphics.plot_acf(data, lags = lags, ax = acf_ax, alpha = 0.5)\n",
    "        acf_ax.set_title('ACF')\n",
    "        # Graph PACF\n",
    "        smt.graphics.plot_pacf(data, lags = lags, ax = pacf_ax, alpha = 0.5)\n",
    "        pacf_ax.set_title('PACF')\n",
    "        # Graph QQ\n",
    "        sm.qqplot(data, line = 's', ax = qq_ax)\n",
    "        qq_ax.set_title(\"QQ Plot\")\n",
    "        # Graph PP\n",
    "        scs.probplot(data, sparams = (data.mean(), data.std()), plot = pp_ax)\n",
    "        pp_ax.set_title(\"PP Graph\")\n",
    "        plt.tight_layout()\n",
    "    return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模拟AR(1) 过程 \n",
    "#设置随机种子（括号里数字无意义）\n",
    "np.random.seed(1)\n",
    "# Time to simulate\n",
    "time = 5000\n",
    "\n",
    "# The params of AR Model\n",
    "a = 0.8\n",
    "\n",
    "# Error terms is normal distributed\n",
    "x = w = np.random.normal(size = time)\n",
    "for t in range(1,time):\n",
    "    x[t] = a * x[t-1] + w[t]\n",
    "\n",
    "ts_plot(x, lags = 30, title = \"White Noise\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0.034871\n",
       "1    0.035158\n",
       "2    0.035210\n",
       "3    0.034411\n",
       "4    0.034475\n",
       "Name: YTM, dtype: float64"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ytm = sp500['YTM']\n",
    "log_return = sp500['log_return']\n",
    "price = sp500['price']\n",
    "ytm.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "      <th>log_return</th>\n",
       "      <th>loss</th>\n",
       "      <th>VAR</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-10</td>\n",
       "      <td>414.54</td>\n",
       "      <td>0.034871</td>\n",
       "      <td>6.599510</td>\n",
       "      <td>0.835825</td>\n",
       "      <td>0.034687</td>\n",
       "      <td>130</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-13</td>\n",
       "      <td>413.87</td>\n",
       "      <td>0.035158</td>\n",
       "      <td>6.595612</td>\n",
       "      <td>0.836458</td>\n",
       "      <td>0.034978</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.001618</td>\n",
       "      <td>0.001618</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-14</td>\n",
       "      <td>414.04</td>\n",
       "      <td>0.035210</td>\n",
       "      <td>6.595863</td>\n",
       "      <td>0.837464</td>\n",
       "      <td>0.035040</td>\n",
       "      <td>132</td>\n",
       "      <td>0.000411</td>\n",
       "      <td>-0.000411</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-15</td>\n",
       "      <td>416.36</td>\n",
       "      <td>0.034411</td>\n",
       "      <td>6.607058</td>\n",
       "      <td>0.839528</td>\n",
       "      <td>0.034221</td>\n",
       "      <td>132</td>\n",
       "      <td>0.005588</td>\n",
       "      <td>-0.005588</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-16</td>\n",
       "      <td>416.09</td>\n",
       "      <td>0.034475</td>\n",
       "      <td>6.609571</td>\n",
       "      <td>0.837917</td>\n",
       "      <td>0.034274</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.000649</td>\n",
       "      <td>0.000649</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS  \\\n",
       "0 2017-03-10  414.54  0.034871  6.599510   0.835825  0.034687  130   \n",
       "1 2017-03-13  413.87  0.035158  6.595612   0.836458  0.034978  131   \n",
       "2 2017-03-14  414.04  0.035210  6.595863   0.837464  0.035040  132   \n",
       "3 2017-03-15  416.36  0.034411  6.607058   0.839528  0.034221  132   \n",
       "4 2017-03-16  416.09  0.034475  6.609571   0.837917  0.034274  131   \n",
       "\n",
       "   log_return      loss  VAR  \n",
       "0    0.000000       NaN  NaN  \n",
       "1   -0.001618  0.001618  NaN  \n",
       "2    0.000411 -0.000411  NaN  \n",
       "3    0.005588 -0.005588  NaN  \n",
       "4   -0.000649  0.000649  NaN  "
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500.loc[0,'log_return'] = 0\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(ytm, lags=40, title=\"YTM\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>     <td>0.268</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.976</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                  0.268\n",
       "P-value                         0.976\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(ytm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(price,lags=40, title=\"Price \" )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>     <td>1.025</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.995</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                  1.025\n",
       "P-value                         0.995\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(price)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LLjvWWVMoFArFTwBlICsUihZHWVkZRo4cib179yIvLw/nnXceZs6caQlJplAoFArFkUK5WCgUCoVCoVAoFBJqk55CoVAoFAqFQiGhDGSFQqFQKBQKhUJC+SA7IB8EoDh8vF4vSktLj3U2TihUmTY/qkybH1WmRwZVrs2PKtPm53gp03iHEykFWaFQKBQKhUKhkFAGskKhUCgUCoVCIdFiXCzWrFmDKVOmgDGG/v37G6duCcLhMCZMmIDt27cjKysLw4YNQ2FhIXw+H8aOHYutW7fioosuwuDBg43vbN++Ha+88gpCoRD69OmDQYMGqdOJFAqFQqFQKBQJaREKMmMMkydPxvDhwzFu3DgsWbIEe/bssaRZuHAhMjMz8fLLL+M3v/kNpk2bBgBITk7GtddeixtvvDHmupMmTcIdd9yB8ePHY//+/VizZs1R+T0KhUKhUCgUiuOXFmEgb926FW3atEHr1q3hdrvRr18/FBUVWdKsWrUKF110EQDgF7/4BdatWwciQlpaGk4++WSkpKRY0ldUVMDv96Nnz57QNA0XXHBBzDUVCoVCoVAoFCc+tO5bRO+7ERQMNCh9i3CxKC8vR35+vvE6Pz8fW7ZsiZsmKSkJGRkZ8Pl8yM7ObvA1y8vLHdMuWLAACxYsAACMGTMGXq/3sH6Pworb7VZl2syoMm1+VJk2P6pMjwyqXJsfVabNT0sr07o6H3y+KuSlpSIpv/58tQgD+VgzYMAADBgwwHh9PIQlOZ44XkK9HE+oMm1+VJk2P6pMjwyqXJsfVabNT0srU1ZdDQAoLy2FRuZ+tBYd5i0vLw9lZWXG67KyMuTl5cVNE41GUVdXh6ysrMO6pkKhUCgUCoXiJwBj+t9og5K3CAO5e/fuKCkpwcGDBxGJRLB06VL07dvXkuass87CokWLAADLly/HqaeemjAiRatWrZCeno7NmzeDiPD111/HXFOhUCgUCoVC8RNAGMbRhhnILcLFIikpCbfeeiuefvppMMZw8cUXo2PHjpgxYwa6d++Ovn374pJLLsGECRMwZMgQeDweDBs2zPj+3Xffjbq6OkQiERQVFeHRRx9Fhw4dcNttt+HVV19FKBTCGWecgT59+hzDX6lQKBQKhUKhOCYIBZlYg5JrRERHMDvHJeqo6ealpfkhnQioMm1+VJk2P6pMjwyqXJsfVabNT0srUzZnBmj2NLhGjofWoYvxfov2QVYoFAqFQqFQKI4YwsXiePJBVigUCoVCoVAojhjCxSLaMBcLZSArFAqFQqFQKE5sjscoFgqFQqFQKBQKxRHDcLFQCrJCoVAoFAqFQqEUZIVCoVAoFAqFwoJhICsFWaFQKBQKhUKhaPRBIcpAVigUCoVC8ZOE9u4ClR861tlQHA2Ui4VCoVAoFApF/bB//xM0+51jnQ3F0UC5WCgUCoVCoVA0gLpaUKDuWOdCcTRQB4UoFAqFQqFQNIBICAiHj3UuFEcDXTkmdVCIQqFQNA2KRsHenwKqrjjWWVEoFEeScBiIKAPZCSovBfvPi6ATZQIRVT7ICoVCcXhsWA2a9xHYOxOPdU4UCsWRJBwCopFjnYsWCW1ZD1q2EDhYcqyz0jyQ8kFWKBSKwyMU5H+Jjm0+FArFEYOiUW4snSgKaXMjwqGdIBMIUj7ICoVCcXiIJUXNnXyMc6JQNAyqqwX7+F3TCFDUT1ifCJ8gBmCz00iDssUTVQryCQtb/iVo9fJjnQ2F4sRH+CQqA1lxvLBhNeiTd4E9O491To4fhHKsFGRnGnmwRotHuFiog0KaDkXCYHPfb3GO6TR5HNirzxzrbCgUJz7KQFYcZ1AoxP8j/irqJ6yX1VFWkIkIbM4MUEv37RWK64misAvlOBwChetvJ+4jnJ0Gs2bNGkyZMgWMMfTv3x9XXXWV5fNwOIwJEyZg+/btyMrKwrBhw1BYWAgA+Oijj7Bw4UK4XC4MGjQIZ5xxBgDg7rvvRlpaGlwuF5KSkjBmzJiGZWZrMejD/0LrchLQ+/Tm/JkKheJ4IKIPCMnKQFYcJ0T0Ab8BA79CR4hgDlEs2LwPoXXoCu3UPs1/31ofaPY0wO2G9n9/bP7rNxcnmoKs/w56bzLovclImvRxwuQtwkBmjGHy5Ml49NFHkZ+fj0ceeQR9+/ZFhw4djDQLFy5EZmYmXn75ZSxZsgTTpk3Dvffeiz179mDp0qUYO3YsKioqMHr0aLz00ktwubg4PnLkSGRnZzcuQ6KDUaFfFIqfJqLtJ7WILlKhqJ+QMpAbjSgrh9Vimj8L1KEL8OJIuB54FlrPU5vvvmITcEtX+6MnmIFMDfM9FrQIF4utW7eiTZs2aN26NdxuN/r164eioiJLmlWrVuGiiy4CAPziF7/AunXrQEQoKipCv379kJycjMLCQrRp0wZbt249vAwZBvIJsqygUCgah3KxUBxvGP60LdzoakmIMnNyIYhGga0bAABs/kfNe19hILf0Z3WibdJr4OY8QYuQR8rLy5Gfn2+8zs/Px5YtW+KmSUpKQkZGBnw+H8rLy3HSSScZ6fLy8lBeXm68fvrppwEAl156KQYMGOB4/wULFmDBggUAgDFjxsCTloZqAFnpaUjzepvlNzYHB/S/3haUp4bgdrubLc+R3TuR1KY9tJ/40ndzlqmCI5dpTXIyagFkZGfBo8q5yah6emRwKteaFDdqAXhSU5CuyrxBhA7uQQUARCIxZXowGoWWngkWCsFdV4N8W5myynK4cvOadN9wdRnKAaQluZDdgp9VTWoqagFkZWbE2EL+xfPhn/8x8kZPiPv9ltb+y10uyGsF+dlZ0FJS46ZvEQbykWL06NHIy8tDVVUVnnrqKbRr1w6nnHJKTLoBAwZYjGdfeRkAoLq8HDWlpUctv4kgKR5raRPzRGuLQLt3wPWbPzVXthqE1+ttcp5lqK4G7L6boN08BK5fXtwMOTt+aa4yVZjIZcqqqwAAdT4fAqqcm8xPsZ5SMAD2z+Fw3XAntC4n1Zu+KTiVK6uqBAD4ystR+xMr86ZCpYf4fyJhRCIRS5lSJATS9I/LDlk/K9kNNvIeuB4dC61T98bf9yCXuwLVVQi14GfFfD4AgK+yMsYWYuu+B61fk7B9t7T2HxXKvU7pzh3Q8rxo166dY/oW4WKRl5eHsrIy43VZWRny8vLipolGo6irq0NWVlbMd8vLy43vir85OTk4++yzG+56kWjZ5VjRDHlhL48GzZraDJk5RgT8vBxqq491ThQnOsEA/3uiLC0qjh7bNwG7toK9/+bRva9ysWg8oswYQ+WYh42oEkTEXSxFP2A/cr6yHCACLfwU0VeebtCt6MftYO9MBDF23LlYkJO7KYsCxBoUd5v27wH7ZLpF6Dsm2H2paxLbEi3CQO7evTtKSkpw8OBBRCIRLF26FH379rWkOeuss7Bo0SIAwPLly3HqqadC0zT07dsXS5cuRTgcxsGDB1FSUoIePXogEAjA7/cDAAKBANauXYtOnTo1LEMtcZOebebzk0Q0UuUbjsjunaDtm5r9ulSyB2zFV81+3eOOoDhAoHE+awqFMX4cbTcwFeat8UgGanDF16DN6/gLYUgJn1X7mKPbBrRxLbBmRYMMP/bKU6AvP+XGtT6e0xEc15vFGE0UxUKIdg3YwMeefQD08TtA0J8wHdXVHlkj2u6DXFOVMHmLcLFISkrCrbfeiqeffhqMMVx88cXo2LEjZsyYge7du6Nv37645JJLMGHCBAwZMgQejwfDhg0DAHTs2BG//OUvcd9998HlcmHw4MFwuVyoqqrCCy+8AIArzueff74R/q1eEuxsbQpUsgeoq4HW/eSmX0R1eo1qkCc6ZX//CwDUG6amsbDH7+L/OffCZr1ufYiBIpE/2NGEQkpBVjQRMW64U47yfcW41XLFFAoGgZIf0VDXE7bkC9C3S4BoBFq7znBdO7h582MfVwN1/K/Dii0RQdN0nwvxjP16+nAIqK/vSknjf4N+Xg4AEAiAdm2F1rlHE3IfH9q8DuyFR+EaOR5a+wYKg04YJ885GchSjOTkeup6XS3/m0DcouoKsH/cDO0PN0K74pp6s8YWzoH2s77QCtrUm9b8ktVAJl81tATJW4SBDABnnnkmzjzzTMt71157rfH/lJQU3HfffY7fHThwIAYOHGh5r3Xr1vjnP//ZtMxEDt/FgrZvAtp3gZaaCvr4HdC+H5H0RHxn9npp6UsxR4MWoCBTgM+AtbT0Y5aHExE27HoAQNKr7x/jnOiIpdWW5GalOKLQph8AT87hGRSAcQDB0dpITCwK9sjtQLnu69nCDrgSEBHYqHuA0gNwvfQutIzM+r/z5kvm/zesAZrZQDZiRwvqdIPXaYzxVQHZuTwvEZuBHArWbyCLMcNfZ64Ib1gNtmE1XI+/BK1j1yb8AGfYhKe5+8OeHYdXnxuiIDdmPE6Utpr70NPKr4ErrgHV+oBIBOz+m6ENvAmuX19tJKXaGtC7/wYt/BRJT73W8PvbDf3jwcWixXGYCjLV1oA99xBo+Zf8dTBgDrhNpRmXYuh4VWBF44oeuwGA3Xs92JBr60+oaBzhkOMkkPbvBZUdPPr5US4WPznYCyPARt0DCvjBPn7H2e+yIYi+vj5VrbkIBEzjGGi5YsqmH4BSPRbTwX0AAGIMbNFnDTrVrLFQOAz20dsgoQo7YR/jDQXZYYzxVYF9Mh1s/izzeyKubkNWeC0Gsi19ra/+7zcQqqkG/Lpiqznro2zhHETHPFj/xaIJwryJ9+ppJxaXiUSCg+aypGHDrge7/2Z+jQ//a00ryqux+5FiXCyUgdx4DneTnq+KPwhR+HEG/4ZARLzCN6eLRUvyrW4MotM6lj7IPxH/Z2pkvMgjBXvsTrCHbzv6N1YuFsclFAmD1iw/LD9G+uht0CfT+dJ+UxDGydHyQbaPLS10vwr5TH9PYzNc0WLQtNdBn81s/vst/xL02UzQx+/GT2QvO32F0LGfj4T5avDM/8SOoQ0pc91Aprra2PTN6VoWkPx844h89O6/gW0b67+WoSDHiRMt/42HrgwDsJQr2cvQOPbb+Xq0SwqyIAzkxh7kpAzkZuBwN+mJDjLgB+3dpRvITbxW8fdg998MOmSe2Z7IeKEft4FNfD6xStxSFYb6iJxYPsgUCYO9OR5U3nLC4BicIGXcZAwF+SdeDkcI2rUN7O1Xmn0iRnM/AHvlGeCHVU2/RiWPiqQlJTXtAmLZXWv+4ZWIwBbMBpMHdvvqZAt1sbCMO7qBbCqBsQoq1dY0z31rEqiz9rLyJ3CxkPPfBANZS8vg/6mriU1vq2u0ZgWit18J8jUhYlNQunY9Y3297U987uhiIQzkeurbQdN2MTY37toGducfQXI7FWUSR4RiT90H2rOTvxDPNEEbpX0/gn35me0itt8hfKPjoAxkJ4xwOU3saPRCp88/ABs1BNi9vekK8sF9vCLKlSzBoE0b14JWfQP4KuOmOW4V5Bbgg9ysFH8PWrIA7J3Xm3yJI7bj96eunBo+yLHlQPWoDor6oXXfgr6eZy5pNxd6OC46dKCehAkQg2ZT9xkYG5KOQD97YB9oxmQEV3xtvmcztqilbtIT46mmmeOZ6GdcNgOx7BDYsL8c3v2EKpto7LV9Rgk26VnsgXjqZyJEfXIykG2GqmHYbW+AymtHjhRRX77CYe7msnAOyO/QFh1EKQoGwKa9BqqrifnMETlEnn492rSW/12/2vxMrJJHI/FDx+l9r9EHJ1CQ6X+zQe+8br2WfUJQzwRBGchOhM0H1RSMiiMIhfjyTFOMGTGLlpcpEs3YGnLGe0tVGOojeux9kJsVcYxxI5dEydJRN7GO7t4BlmhZ86e+OS2OiwWVHQL7x02gLRuOQaZOIMQEpLmj86TqRsjhGN6Gz3ui/e0c8lXHqnBiBfFIrNTpxo/FmLH3H81QplRdAdqz47CvY0EYle06ceEHMH387Urg3p2HfTuxApDQv7kxCrJsFNu/15A+XPzGWgcD2WZkajmtAABUVY5GI68o1GsgB4G1RXzD2+xpsZ87bNKjhZ+CFs0Fir/nb9Tng+w0sRB1NEXy05ddLKrjhF8T5SZ8jxMpyDv105gDUnnYo1iQMpAbjeEbc5gKcgxNURTqHAzkRBXSiIVpU8NKL70AACAASURBVBXkitFMygb56xIu0bCibxB9YUSz3AtAoxVkCgbBJr0AKj/ULLdv9o0kQjVx6FyJsfgDVKARCkEcqOhr7msZb6Z+jDanxZtENiQYfbOiL1PG3LeqHGCs2erU8QoVfw+26LP6E8bjSB2UkKqH0gokjrdqx+KSdmg//1uPMkY11WD33cDju8rvixXESBi0aR3YnBmNyotxHSLQto3WNqEbPyQbQfb+oxn6dzbyHrAnhh72dSyI6B5tOwJlevsR44ddQXZSMwFQRRmi/xwOqk6wQirSinEikfFqj2KR0MUigYLcEANZ/FYnBdle17Ky+d/SJmxQlq/tYMNYxuxQyJysiM/LDoLEZkrmEOYtZHPpqU9MkctKpBXtXvK9NmJCRyNAle1gFuPeehrDbcZ5EkvBILDvR/5Cnizb+3OlIDeBw/VBtivI9us2Bt03S97gkNhADlr/Ot07HAaVH0L0zoGgH7c3OCtUdghs/ke84w7Ugf39z6DZ78T/wrZiYNMPoAQNiOpqEX30TnO2l+j+4nk01EBesxy08mvQB281KH29SJ12s/hOJoiWQvM+BHtiqHO5yA2+qQZGoB4F71i5WOzfYwxsljKuTewr1lBo9w5Enxga17+RDu3nwf/jxdw2Js8NK3eqqwF7+1UjPGBzQURgn39Qr49i9IURiL48ulnvDQBs7GOgaU13DTJUruY2kMX1an2gyjJQnIGWTXsNtH41n4hWVTj39fWtVImwVJ++x/d9hMM8woHwqwyHwV4YDpo9rWmrh98tAxvzIGjpF+Z7wkD214GqKvjGpaBdQW4GF4tEfrtxoLKDMYYr+/gdMHF6q+jnMj3mczJcLGymiK7Ca3+5w3qPL+cAm9eBvv68/gyFncUixzSCBFEsKIEPckw8ZSeEWum0Sc/e3+r3shuvMZesq0H0mfv5WQviPYuAok/0Vy8HbdIPQZH7vnAIqNBV6lx+8jB7+DYeNhDSxFEew+3jVX3jccRhxVOUl1vayGoYyFEuRDhgGNHCZz1ev7p7u2n8+v2gUJBH7bBPrOppl8pAdkJUzgYsM1MkDPb+mzxmnyCegtwERZqEYWBxsWiCgSy/joRBa1cBkQioESoQmzAaNHMKPwloL5+d0XdLQOEQ6IAetufgPtPFRO9sKJAgxN3OzcCBvQ07llX/3bR3J6Kvj7Eu3TghGqO9820q/sMzTC2THMBUL5zCm+3kO3ZFucbNR1MHQ6ECxPv+UXSxkA1h9vjdoGl6XEu5XJopDBJ9+h6wZwfohyLHz9nwv4L961HzjQYYyLRxLajMWVGmzz8Aff0597cFQFuL6x30GsT+vaAP3gJ9tzRxuk0/AGudf2tzkHDD8O4d8fvQI6UgCwOyshzsgUFGmCgjT3U1oD07QYvm8v7s26XcGHBQJOsNhykZkbTqG2D3dh7hQCAbBvWcIOYEVeibd3dtM9/T+1IW8IONHsY3LjmIIbS2yOrf2UTq7WMl2OvPgd6bbP3+J9P5BOLN8XzimeTmKr/djdEejkzv4zQ97rBBuh47ucYHNn0SohOeip+hhkxm7YatP3EUC4OmuFjo9YnqamKfmb2uCcPPqf+XoHXfATs2g82e6pwXPZ9s9jSw/83i78l1PRwERD1zJcVO5AwXiwQr0PW1E0cXi6D1NWCpE1QZx7XEriDbXKlo/WoucsjCUqAO2LHFOWqHMpCbgG2THkWj8Zd+Vy4GzfvQGkomroHchMGgTq8I9bhYUFUFV1gbYiCHw6bvTmOUQqHGRMKg3brynFcI9sa/wB79G1dQRvwN7On7eZ70zoYSDQ7J+hKLZABFxz4GNu/D2LTid+/fC3y7FCirZyOOaHwNCAVD1ZWI3n4lmKzW2PFLz7WRhilb8RXYfTeCdpgN11AdHNQr45ABp45a7hSausoRrMdAOZrRG+xqzBL9Gchl3FxxQvO8/K9k0NLBfYjefTUiYoe0oHV7B2XHpoBANwyc6itgKvUubgCw5x4CG/G3pubeRGxSSbQZ92jgd+7raP8esCeHombqROfPj5QPsuhr4ihQ7PlHwJ74O39R0BYoP8jbgNOSvZiQ11Q7HwlsP6bWPkbIbasJiqyxqUtWyYQPcjBg9sd2f2s9/i/7JEF4s4YSR6Fjb44HrV5ufbO6wqIgk7Q5i5YsADav46Hv3Mlmm48XLcZfy8eodNthIkJx9FWBvvgE+H5l7J4fANHnHgZ9rrfJBHWMwmGrcR6o42N9fS4WTQmtxxquIBsqcD2bTTW3wzgh2pY72bpKKcpc3jQXChlRWxAOAXbXsYYoyPWttDgpyKLfCAZBP24DrfvWLBPG6nWxMDbpBfyGGxyFQ2AvjgR7YQQgh4STD2axo1wsmoA8kwmHwJ6+DzTlJee0opOUG1lcF4s4MQkZA5v3kWNDN5ZD5M9sjZeIwO6/Gey1MUZHTsVr+clQAtlnLRI2fb4aYwgZnZof2K37x6alA98t4/8XjVooZHojSKggi3zJA0jx9yAnRdmuRsXxUzMQA4e7AbESdX9fWrowfprDUG7p8w/4fyqkDshYAnTowEXH52QY+qVBqwkGBgX8koEST0GOE4uyrsZQlWj3DrBZUw8/koa9XYilSLnOxmtTjcWj+/ZVmKH1aNUSIBSCf8Eca9rsnAQKsvBRZjxv8SJbiPTuhsfEpa0bwKa+6liuFA5x/zpRL+JtZjlaxHPxqOCDbnjzeufPDQW5mSMuiL4mngK1d5f5/7YdzT4rwQ5+du8NYGMfi/k4xr3FLozI9bopEzz9oBGLv7FQyGWj2P5bQ0Fu6MTx0yUisMXzGxZCzGGzI4XDPPrOq8/Y0vqt5bh9c+z1klO4kcwYV+jFhMZucNbVcuPYftiKGFPkmMo/fGvNHxGwdYNp7CXqq4N+qxFOxN+Txxoxtsv+yvaJQ0PqsTCCHaNY2PoZo38OJO5fxdhmWa3Qv+vJtir1QsHev1fKd8g8ZCYSsbYPOV9yP3gYCjJJk04AQCgINvpesJeesIxlhgBnJ8YHGWab11ddUVPFFWRxBHUggYGsNuk1AfFAI2HQ3A+A3TtAyxaCpKUuNmc62EdTzU4xPcP4jBqrIG9ZD3p/Cmiqw5GJTr6S9hmbqCxri8wZ1oLZYLLvrc3FIq6PZSJEuQT8pu+ybLjYO1O9E0l4kpFY6m/IABJvx3E8RCfaAAPOGCwys+InktWyRpyMSNEooKuTFl+1UHwXCyPP1bEzaUt5NtLAoIMlYEOv42oOkGBm7RDejEXBhv4F7I0X+Ouv5nKXhXiz/YYSr11IeaMGKnBs4Ry+MdPe0Rv30o17Ofa0PkBSrQ/IzTffdyXFKjv2XdihAEAEiqOkWgLjS2pFokGPPfcw6KvPHVUs9vjdYPdcY7p02d125Lw2YhJHh/aD1qxocHoDu4oq0H9r3FjCR0hBNoxJ2YCSy1paTdJSUk1DRxhqcmi3aNTc6OW0PGubFJE06UJGptWQqMcYJRYF7bZtyo2Y/S1bvghswWzJB1ky0CpscdRrqvm4FG/yVH4I9N8JYE8Ns+YhEgGb+R/jEA8AwN6dscKN7WRLikZ5nxTwW8YAebXMwJ1sGr3hUHxfdH8dH1PtE0sxHsqTAlkIAmJXNeybymRqqoFW+db3/H5r2xN1Qjbg7ONyYxTk8kMxkynasxO06Qculn3xiRkGL56aLRDjd9hmICclAekZpt90JMJdKvfv4YeEiPtWVwGSgmz0m8It0WmTnt1AtuWPzZqK6N3XOKcXaUXbibfZdP13Tr/WTONgd9DWYv461wvs3wvt5J/z9/118feAKAW5CYiZYnkpaP5HwM/6Ai4X6LtlxsyH1q/mywKi45NnnPEGy3iGgAhHU+qwnOKknNkbjLycKHZgA7alOVvwcGG8NsZAFrO/0gPAj/pkQTZs5U1sP6wyOoHyfwwCmzzO8ZKGumz4fSfIT2MVZPFsbOlozXKrzzhgdPpapifu5RKGVrKnDYfNpSvpkBdL3TA6LwcfZPHcqxxUIIsvdOLlLdq5xapGHtrPOwWbgUKMWQ0JJ9cbsclDXzEQftLYvyc2bWNw8sEOBqx1toEKHH32Pt+YuXyRcwLx3A5IKkoS7wZZXS03lDr3gOvJV3m7rM8HWRgq8Q41EHU24Le2R5vBzxbMtq74AEA4CPbvf4Kt+Mp8T/QRNdbNu7Tvx1gDqxGqOxs1BOyVpxuc3sBXDar1ITr+ScuSulE+9RjIjfFxbRCijOW6LPo6xgBI70fCRlsyBtCep5mfRyNxXTUAxE5ORB9y0z3QTj3T4soW09/okB7+k/43G+zJoTxqhRi0RRkG/aDJY0EzJjtGsSC7gSw+C/r5aoMdUffKS0HyeLHuW9D8WWBv/Mt4i73yDNhT91m/X6p/R/cPpoVzwB6+nfcrsuHuVHbCxQLgApS9/6+rBQUDvK9Nz4w9jVDkvWR37O8VOCj7om9jc6abhpS4Xk6eNX2gznrKW6qDq0tMKNdGGMjRKO8zpYNkaPY73DVg8zrQ9ElmOwdiYzVXloN2cHXeEvlBzktKGp+ISGIfohHunkgM2o138fc3/2C2lUiYfw6YyrTNxSJ6+5WglVIMbvu9AS6ahILmJMLJB1kEH5DHDrkMQyEgvxAxyMKEWA0UbXirHnpTuF72PJX/Dfjjjx/KB7kJiAdaegAIheD602AgwwNaW8SX2z6ZzmX9QB2oXJ9Ny0ZLvMGyPn9Rm2FN4bBzw7NfR1bw5Nm/7Psrq3GRsNnYG7MZS69MtOxL3tjbd7bOhKVKyMY/aTFCaPmXzteUO/p4vxd8dkjbN1nfizcREZ+LyYyUjsoP8U7/Py/y15vXg6382lRFEs0oLQpyEGzZl3EHePb6GLAHBvGOWV9uBmAtL8nFIkZR1DtgxziY0nOlqnJT5ZKgcAjsndfBnv4HVyPF0qR9dSMUBFVXgt1xFeirueb7TgdkFC3m/+lyEv/dQhU/XAPZqV0cLLH5IDfQ2BOrK2VxwiMJxb30gBnCTRhQtT4g4If2s7Ogte3AFWR7OYRtCrKxRB/HF1dOJ/cRtpMxacZkPkDKhEL8KN43/sXTyIOmTUFmI+/hBhYRn5x9u8S6iay+vkesPCUK2/jFHKtBBd7G6KvPgR9Wgf73sfm++K2uOAZyI1wsGhWP12m/gzBkfVVANMojI7TvzNuNzcXC9avLoP3yYv5eJGL1VbcbXna3mlJpki38P926WmqbENHeH0HfLuGnic14A9CjELAxD4Ld8yeeyF7HpP9bVpESncTpsAJlMe5KdoN9+h7YjDfMa9oNf33Tk+ijjDqQ3Ur/vESKKiCJJE4ChnCxAHhbEs9L7wPZ0OvAnn+Y5zEjM0ZBprpYQyembtvzz5jhq0ofv2sYeEQE1FRDy7UayLRlA0ielCYn85UHucydzjqQr+GriokQFRMy0sH1L8avG4g1kD99D+zFUTz/TpGQAn6+ETJZ8kGORPiERB9vNf3Z0YbvuaGenMI/F5OtUIj3BcZKM4u/Dyuewi0mMY4Ksv4c5ZUZW3vSev0s9pryOQ96rGj49QmNWBXV+2ytdXv+OuCPP34oBbkJyBUyJxdam/a8serBy+njd3jHE/CbHWid1HgaoCBT2UHQD6sQfeZ+bnADsT5s8RQguw9yPJUjEGf5Qu6YxOxr9XJQHH9B8lUjevuV5hsb1gAFbfgShmQUN+mEMXn5q+KQ1WCWfOjYcw8B9iXg+g4DEB2l3oCortY0VvVOnv3zEdCkFwzjI6E7iPSMac1y0H/GgWa97ZxWRA6oq7XuyJWfsbzR67mHrBErHA6IoXAI7MP/WgxumjwO9OZLoE3rrB3Yto0g+ZhNp6Up8b5eFhb/aycDWUx4wiFg3y6z89QHdyo9EL+zTITTykrZQWvdiLeUb0co4vHiFMsbQcSz0FWvaOlBPgkU7lJJVhcLKj9k1ilh2In6Eq8DFgN6wG/pF2jFV9xlZd6HYCPvdv6u3BbmTDdCL/H7xXGx2L0D9M3/+MZB4fcu7t8Q4qxykb8ONP3fPGqCXM98VeYAKKt94rc20cXCUBJ/WAX2xFCwZdYJNhFZXN4s17Uvy4t+SR/8tVb5xkYxYwOxKJ+MTGjX6+paNGpRZ9l9N4BJE33yVQMZHsPQIaFcCeUzIm2GtvWN7I0XwF5/jn9v0VxDjQUgGT36X6l/F65BFAiY7iJ2BVlG7j+qKng4MKkPoBofaMNqHvFCtA0H9zH29D/M+iQMZOF6IKvGwYBpCDqNg26rgmxMzCJhc1/Lj9tNF4t4CrIgyR27iubUV9T6eBslMttOKMjLONfqYkGfzrAeVe5O5vlogIJMdTU8hOAn74K9NMqahjGgsJ35ukuPmGzSQmkfRJyTAKn8kLnvQawQyEZoKMgN5JRUa8haeUKYlcP/HtwHdOjM4y6Hw1bXlXBIUr0j8d2h7GOFOORk9TJEK8r4vcVviYa56u0U+1+2Y1q3B7r3ir1XKMj7n1DQbDP+OmDbJv7bhKoM8M9TUnkfXRvHNlE+yE1AbnDCJzU90yrHV1fygtcHYvLXgrYW8w60rtayfOJ0XfbWy1xl3bGZG5xArIFsXxYQldqu+sbzAZUHWPsmPWE819XwkEivPgP2z0csX6daH182PeCgELbtyAeHBMvGDUI24ivKLNdj/7iJbyaJN8vTDVaKRsHemRijbhmDUl0t2MTnwYZeZ6pw4kABgTBO/QkMCVkR0f37aM+uxJsofJWmj1d6hs3FQuoktm0Ee+1Z87UwuPbtNuMCr1oCmvs+370tQSu+4vFWV31jvmdXdY3nbVulCAXNDk4Oh+fk6iLqb63PNOZT07lfW8kesEduB4lQQjYoGIwfdsopDnQwYF31aMBmNIuiEk9Bljt5n7kTGgCiwv9ObNpJSrIoDGzcSPNQCHEdUSf8tc71oEY2kKUJ1sI5/HkWfWMua9qRJ58rF1s+Mnyya6otyhStWW4uV8sqWEMN5FCQu0w8MAhMjnEu8l5XY52g11Sbz083fKiizNh9z8oOgs1+J7YNC4Ni5n/A3n7V+tu+LwJ74GawcY+DDuptupj3kWzKS2D/GQdasQjsqXv575UJBox4rpY8AmY7bOXlRm1UMhjERCc5xTRqo5FYdXatZDjVVAHdT4brlZmAJ8usc5kec3nbfvKXQPZ17trTsofFQNRluV/VJ6kU8JvGo9wv2VVJXyWP/f3M/WBTXgR7/C4wESUG4GVTW6O7AAnXDGefXfp+JZ8oCaFCPMM4e09QV2s1/AFdQZZ8kEXacMi6dF9bA83JxcI+Jha0jl3id/D3pi0bjHwb7i6iXtjrS4VNcEpKApJTrH7fDitxAECzpoEWzQUt+jzWBZAxINU8GEM785cx+bQgxnv7pFUf79l9N4Km6/7EkoFMwQC/jzuZn3lAZG7SExNC6bloHbqakUUqSk3bRRobKBqNL0jZ90TpLik0fxaqnh/OryvqeyQS/zqVFUDbjnANewKuUS+bEa4kKBQ0fqtx2mCgDrT+OyApyVqmnmx9zK1zFjCSkgCmXCwaj9zgxIwkIzM2XUjaZOCv5Srg5HH8+zm5McktgcZTYh9+zFKzOAlGzHA7dNHT6QZTZRn39a2q4BUww+Y/G41Im4psCrLRidWAFnxsvY/I7zsTwV57znHmqHmy+UAgc5gKMnthBNhjd1rz8L/Z8ScAogPauxP05adg9piYkoJsqM/fr+R/7eUvBrdDJWBffMJjbL42xppG+n2Gf/GG1WB//b1FOZU3cNAnM7hBm57Jy9fiYmF73rJRJxQKYmAvjgQAaNIgmiz8q2Tknb92oytkTois7wdNlVRW+5x8kI1DGGrMvHfoDBzYB1qpG2PlpWDLv0RUVxqJCOyLOWDP/APsxZHceIp3XVu+jEldfiEPIbXuO8PQYpPHgS342PqdaIRPYpPcgB72kHzVFmXesnHN2ChiNR5FOWuuJGtfINVDoy2Lzj4SR2GRwhEZhx/8WVeCi783oqcAiJ20Wfz7bQOyWDonshhxtHeX82DQ0E2loSCvh5VloDnTzWVieVCT3bh81TGROtiDg0ALZgMAIts3g+ZMt/xOIjKVr1CQx4mWlHC27Atelts2ghbr8aOFr/XSL0DLvjTCatI2q9sVArEGMvmqedi5V/SoC7n5hvFgGsj63+Rkm4FsXYmgaATsw7cQHTWEL897snk9Sc801bd03TUg6DfKhrZvtsZBF64nGR7+bJ3qjpP7lh4hiAJ1juErtcsHWqIyUHUl2AdvciFGTFBldVQoq4E6q7LqRNlB0PtTTAU5FATt2RlrCEqTRiOSgCA52QxhGQ5bNunRFmkFs6rc0cUCtT7rRursVrHjpsPGVZr2Gui/E/iLGquBLFwsksT4alcVk9zm8xTYjywWk1LRv6Wk8hUKy74OBriSoP31QWh/fQBav/5Au04xeUWn7vyvsD3s/aNTdBJ7FIvUNH6McygouUlIE0JZac3K4RMAXxX/vI3umiCPDSwaf2U8GuWbCz+aylc4pHTRAyX8OVsM5Dh9UVUFkJoG7dQ+0Nxu5+hTsvosXHz8tbxPKmjDJ78An4SlpAJpGdy9xskH2Z2iFOTDxqM3RicDWcbeSdiMTQCWDk9zMpABS4OircW8knu5s7rWvgt/XxjICz4BG/8kVw5z8mINVsASLsZAXlqsrTWd24VPj7h/RSnf8ew04GY5GMhNCWUUCCQ+yKNkt3WTm+W7wmdON0LEhALghzHI/oU9evP3hR9tvA2Th/aDpk/iZbp3F6jskNn5VZaZGwfsGyrlZU4pggKt/Io3/Nw8vqt48zqwxfP1PASBDA+0a27lA1uQh/QR8ay1314LdOpmboKTjLXkXtJmIkFtDSgS4b52JTYFWRgkMcpHyFQEtVgFmYjMzV9y1A39WWt5BVxRFhOQrBw+Sdy1FeyeP4E9OYyrHOLZ2J4lsWgcAzlkdoTe1sDWYrCXRoGWf8l/3/Ivue+m/TsA7+B1w5G9/KQeo1s6VUsoWMJ4tbddYWBIPsgkwj8JRJ2QVSW/tZ2QtJxLQb/h/62d0gfoeRrom/9ZlXqbWmaJ3GHPY/khM/yUHLGjqsI5NnJDFeT9ey3H29K+XTHfp2JzJYCqpVPo7CG5ZOQVgEg4ZmCiFYvMF8EgNxJy88zfJuqz6I/FpED6rVRZBgT90OybrmqqTfehlFRuEMQoyPpfdwo0TeNGUTQSuwEuEuGRjfbu4kqjtzV/Xw4VlukxQpkZ7NoK9sTfQaId1NUCp58D7ax+3GCz+WLzduFgqIr6GAhY202nbnDd8xi03/4Zrn++CdcY/cCO6krnEIMuFy+Hmmo+aQ74rYaX0wpoZTk3onJacT/t/Xt4TOmYKBJitaEWWn5r62fJKVYXi6CkWu/ZAXTsaqZNz4itU3W1QHIyXPc/A+1Pg82JjoysIIsNdvIEsdbH97SsWsJfZ+XA9fTraDUqTihXt5s/z0SbwkVfJeqj2837ILkORKOAywXX2efDdfavoGV44LrfujFW+/Pt0ArbGvkCANr4g7EiSIw5+5Xb3FyQmgZN9ys22qdwsUhJtSjZ8GTzchQTH3F/eXUxGo2/ulpZAezcAvrsPbBxj/M+T7clNE8WH89S0nh/Je9/EhO8FP0ZB/0W4UpzOr8gFDT7eSFC+v18U3tmltkOPdm8Haelc194J9vE3kYdaDEG8po1azB06FAMGTIEs2bFLtOGw2GMGzcOQ4YMwfDhw3HwoNmJf/TRRxgyZAiGDh2KNWvWNPiaCdEHHy2Tz7Q0uzork+GJVW3soWMAqw9yKMiNn9POtKaRB6ItG4CuvczBRcxwxZKG8LWqquAV0imPYrZWXWlWSLmSBv2m8mhXmepqeefp5AvtyY4tk4bE1QSfZZNwzg/6+awvwWEe9JXzsaJi853su0Tfr+TRRmZNA1JSoV34f/wednXOV2V1OwH48xDU+viqwMODwSY+z9+rLANa6z5kdh9Xyb3DMb8uF59k+apAU1/VNySGAE82XJddxSccRPwZiPLOyuF+3sJPXFKZnBRkqvWBPXYnP4hi/27rh8EECrJTGCQxEC/7km/+WltkjbYhyjw3j9clsSEjHDJn/qGgVSEFLBvNaOsGsDv+YFWOLPnig47mlQbZrcX82Toh2pfYnFF20IyNKVSzUBDIL+D3F5s47cajUDtkF4tI2NqZGgqyddnVshEn4DcHGNnFIiMTmoP/obzbHoB1Wd4+iagsN9Q5wxc3M4sr59WVVl9HAOyVp0HfLeNhvBJEimEvjgSbKrk8HCiJ/Z3GTvdkbriKvNkOQ5OxbDB0UrPlQ1pCQSAtzezvAK5e1taY/ZmIqCNcnSJhsAcG8c/sfW9NNWjzOm5EPv8faC5XjIJs1AFhkIkIJvaJsOxeQszcSCRWdzSNq1ayUZrk5s8q4Df3BfhruQuBJ4sbqTEHO4X4v9R0aP1/B+28AbZ82DY0p6RCO/1saG43tNRUaPkFvD5UlDn3rRmZgCeb748IBQEikLyClZ4e+x2A93N5Babh6QBtWc9FHH8tP5hHNraT7WHe9HLfvQMIhaCd/StrHp3ynpwCrddpcF36e9PXW0aeIDqNw6UH+Gqv8Kn2ZEMrbAdXbqvYtIDpN50wXKnwF9eNV6eT4ojF+uTLr0/pA1f/3xljlaaLcjTzP2CP6X7xtTXO7m+BOtONKRgwo1jIAkhUn5CkpfNVD4Eni/fZel03NreFgtbIG3F+P332HtizD/AX+/cAjEG77CpoF/wfWFUFb2dio2MkYrZ/4eZR0Na8WIo0IbK71wBW4cSTw9ubv9ZcWRBCpphIp2foqyMONkxKitVt1oEWYSAzxjB58mQMHz4c48aNw5IlS7Bnj1UBW7hwITIzM/Hyyy/jN7/5DaZN44Pknj17sHTpUowdOxYjRozA5MmTwRhr0DUTIgZJj+SDDDhvOvG2Nv3bdDQnBTkSAiv6hi+PyZVYppJHJaBQENi9f618ZwAAIABJREFUA1r33qax3qGzfh19cKit4R1v5x7Qup4UawQCZgdUXsoNA7ebqylyqBs5dIqMvy5WWRB4ss0ySeW/o75NehSN8iW/BweBjXmQ+w4Fg7ysHVxSAAD5hbFhZeT8AZalbzbhKbDXngWtXw3tnAtMY8m+7FZTHfO7tK49zReRiGnwC7eMinJoNsPD+G1io9uenaCVX0G74hprggN7+YAI8E7nwB5uJIsOIU0fYAN1gDhePMPDB6JQkBs1kqKU3Pv02EzU+HgnV3qAP295kBbhoewGcjhohlpyCvMmNi9u28g7OuEXVykZyIAUjzPkOHi67hrO67FsIAufwLkfxKRHOGiq3pKBTIvng+a+z1/Y76MbakKBoapyoD1fwmQr9DoUDJrLcKJOBOq4T70gQ2rrhoFraxtGhAHJr/jzD7nBL64rQiEC1k166RnQup/M8/rrq6H99QHuh8qYVaVK5NPPGNCBq20kTo3q1I2rS9WVxiTAwFfF28X8WcZm47jIMYRXLeZh5uTfKVxWuvUCKkpBIhRhJBLfH7/0ANgXn4C+L7KG7xPILgZ636jZl59LD8QaQz+s4r7Sct9jdxXb9AOwcyu0U/pAE8vzhoKs/y7ZxUJ8Hg5zg1A28EIBU4hwJwPd9D5D1Jn0DG6AS/26NmgoXE9PBLr1Am3XhQF/rWGkIhqxbEjm9wny++fkwvXn2+G65e+JY7Q7rUh26ALatY0vV9txJfGxTXaXkfdwpMUxgA/u45+lOq+AAtw1j2ZN5W0n02NZfdVkBTkoqYF6vdF+frY53vXuo09mbPmX+zW3O3bTuizUZOckXqEEuDgBXbF0KsckN3+eiVZhhNEm1F15c5xAV5AtyIaqsC1E2Tu1JSf1WKQVdTkYgJYqwryFYhVk27PVPNlWO0SIQMGAdFBIJL6LhROZWUB2Lu8LQwF9YpTMr2P3g24tjalyPuIpyPo4qKWmGS4UqK2Blukx3RCFC0ma8EGO42JxPCjIW7duRZs2bdC6dWu43W7069cPRUVFljSrVq3CRRddBAD4xS9+gXXr+K79oqIi9OvXD8nJySgsLESbNm2wdevWBl0zIcLYzLS5WOQVxKb1to59z2nmunMr6N/Pg/77ir4MkhrjasHenQj21L3cACEGFLaF6+4R0K651ez4D+zjBnStD8grgGvEv+C6epDzjCsY4KdvlR3k7gFJyVxZi0asHU/7zrEqhmgQpQeA5BS4Ro43PtKycoCOXYAzfgHXo2N5o6vPBzkY4OGnBBu+540lLT02FqWO6y93xL+ebCDblwTr9MmDaDDVlUCvnwGnnMHLIeCP3f1t31AiLQOTv47n1VtodmSFbaFdfAX/vxhcdONCO6WP5VLab/9sPUxm74+8oYsOQXRatbWGG4LWKt/8TsBvPB/XqAlIshtAgMXFBADQtoN5P0NBdthcIiZG8rJ3NAI2a6o58auu5J2tXq+NyBz25xYKOg8yrdvxtNLyvRxCy0Jyiqkgu5NjXH8MvLY4mWJQEu2kttY0MresN3Y/a55snkfZP1jupEWZyweF2CePoaCukkmG4zJ9GV9sopk/i3fUZ/7SVJDFYHvGL+B6bBy0P9zIl1sv/DX/rtyG6mlPWnt9wqwbyFrHrtzgOFQCLSsXrvtGQ7v8D7FfrK0BW/k1oq89yw8niBeLuENXYP9eHmZONg50A1kTu8yFgR6NxPdfLT0Amj4JbMJoxxULy2pOKMgNMGEgi4EyjqsVzZluDaUYCpr9wRnncv/baASaNKnU3HpUAmFcxSjIbu5PGgpal/2rK8389zyVG3yAOfkVxrPUF2tp6dA0DVq3XsCenVwgEVEaxEBeXsr7k1v+bvwGkvsHwBxnNAep3kFV1Lr15Mq8bGiJ/IVDQGa2eeopYFXL08y+ykIoxNtOHBdBAW3TBZj0TKCdNPkUESEAUIWt/SclAW07wPXkK3CNfRuaPrmNcRGRJx9uBwVZNuSIrP62TsjuMU6bJQ0XizgGspuHgOORQGwrPXLbYix2nJIFNzEe67ZHTFg4wBSDHFxg2MTnuYocDPAVmORkvupnKMhR3s7skx/hYqGjCb9x2cWCRa3uZPWgZXq46CXCnLpTTAXZ8IPOst4PgCZvzIvngywm2CkpfKVDGMCSgqzpz1xLT+djntPkJuU48UEuLy9Hfr5pUObn56O8vDxumqSkJGRkZMDn88V8Ny8vD+Xl5Q26ZkJEIxSGsfjrELxaK4g1kLWO3Xjl95izfuEoTiV7TEPC3tHs2Mx9X/VA4FpuHrS2HfgyvAgn9PkHYHdfw/3gMj3c10bOswTt3g5219XA9k3Q8rwWP0p5OUvr2tOi7JAeOxIA6FAJv4+85OnJhpaWgaS7h0Nr06HBBrKhyqammeevp6TGGqciXz8/G65//Rda/9/FfiiMk8py7jdl342cV2AOXL4qIDUNSfc+Ce3XV/PfJRuU7TvHHxQA01DMzTefWYcucP3lb0Cb9iARPF901tJSkeuFt+D6zZ+s6uC+3XyQEgOs3mmxUfeAvTyaD4KdupudWcBvdr6Fto0vAptKrp1zgRnTNdEmPfHc5ZPeAgHQp++BdH9pqqrg+RUGcWUZ4E42OiKDcMh5KS7DA3hbm6GwgJiDLbSLr4Dr74/z8g0FTV+67DgGsn32LxRksVRaW83LRHdtwaH9PE1KKh8UJB9kTX72xmqRK76CvH8P2J0DQfM+jMkW7dgM9v4UYG0RtEt+yyeTQkFOz+DGkssFrVN3o+0aB9TIrjv1RYXJbcUVfTFB1PcooMYHZOdA6306tMtiDWSqqQZ98i7w3TLQkgXxlSFZJRSDo7e1GS6tG1fBjXpnmzBY7ikbX05pbAaylpJqDpx6W7Kc8Ga/vuSmo512puEi4PrVZfzNTt0AedXF7ba6sNgV5KQkw01Jk12vDpYAkQi0y/8A123/iMmHsQolG3V6G9a6n8zr7Ma13HDIyDTbT3mpdTwQCrJsDJ51nv5jTYPXmKDbYu4CgNalJ1en5X5OTJpDQWhZ2fEVtHgKMnTlzmm1UkZMajIy4br/aWi/u46/diWZR2iv009LE2WWkwfNlQStTQfeZgSiLEWfKgtB7mTzSPAvPkH0zj9ajSHGzFUvG667hkO78P+4Si2IZyDbN+nJeNvw/Q76ZmoL9blYSAqy8LnVLvkt0PNUuC6JHfNIN5Bdo1+NHRM3rOGHuNT6uPuBcLEI2xRk+7PzZJllnJRkTCjYS0+Y/VE0wSY9JzKzoYkxvaJUPyDGbYnFbNwzu5X5bOU+J66CrI+DKalAeiZfuQ74+WqF5IMMgI/p8VT35ONEQT7WLFiwAA8//DAefvhh470kvYPILmgNr9eLLN0oSZNnwzqZklInyD/zHBS+swAp+nGHAODWB4YkEJIiYaRl5yDd7lqgN+4U3WeyVZdu8Hq98Hq9yC+0GeJ1tUjP8xqfpzps0kvdaR73mdGxi+WztKwc5I19C56b70FG+45AOIT8Vq34vTIzjI7YVXoQ7uxceL1e47utOnUx7uv1euHOzIImGV+u3DykD7A24FbpqUgHg5aegdS+5wHfr0RSMIDU7BykywqehNfrRUG3HvD0iI2J6AoG+L3rapDsLUSyUNR0crt2R3aBPqGJRpGa6YHX60V2O/680vTGn//KDBS++DY80u+zk637fed26QaXbkylF7aB1+tFSrtOcFeU8nqSxht4boE5kfJ268HzKS3zpJTth5sxpOh5ymltNXqT2nVEQcdOyNbrXau0FGS4kwBNg7dNW7idZtc2sjp3hXfIcABAptsNr9cLzTaTTtU0ZCRxIy1Z6rwzybps6a7hhyykt9GfU1UFtNQ05La31v3kcMjRAPJ26oy0Dp3gKjvE65cnEzi4Dymnn22mGTwMBRf/H1xp6UjVNKS6NLjS0pHbyfpck087E6nn9YcrGrHUwZwM/lyyC1tDy8hEqq8KiEaQdu6FAADPoX3QwiGk5eTCnZuHZL3+aKEg0iT/Q2+79vB6vUj3ZEEjBq/Xi9z0BIqZbcChqa+C5n0EzZMF759vRXqrfCAYgLtkN5I8WZY8G3nX66QnaJZdsqy0pqQi5/7RcEkrU9lt2sGtT85d3gLkdDENucw27fi125v9VavRr/B7EIOmD7RJpQfQKs3ht7ndyLrUjH2eEeGTqBRJTW3V+2eGnyQAZKSkoFW6s+GkSROjzLL9MZ8nE0NOdRm05x4EfJVIy8mF96xfIvmUM5D7IN/IlCoGOr3uJ7XrhNxH+alvybrrQv6Lb6Pg7H5w6St/eWeei1ZPjEfBmIkoKCgwyjvNk21R+1yhAG9brXmbdqWkGr7Wnt6xBxZk9f45Crp2N66Xe8VApF/2exTcN4r3A63MyXqufs38c84H3G4k665FWYVtkNtBV0mrK5CckYkcfVUkNyMdySAkZ2Sa/f+vr4rJR3afc5H559uQq99X/pd35rk8kbRhN62zHiEhGkW6fQVGIiUrG54b/ga37isv7zdJy86Bx2mFVCJJFxRy2rRFQWFrZOpiVVpKMvLEOPbDt9A8Wcg4ja+2Jetjrf2fS29fLn1ynpyeYT7HrCxoej9A0ycBkTA0SShITkpCskNetQwPCi79LQqHPW6OYW433A5qc2pGBlIy42/ST+nYJe7KSassj3l9TUNKapr19xWazyA1g/+ugu4nofVzk5DX82TLtbxeLzIZ75fzu3RFRh7/Xe7uJ6PVM68DADL1PR+edh2QqfdpRt9FDO5QACnZOZaxPL9TF6R6PEa5tGoj+QTruDUNGa4EmwwAi7HfqkNH5Ah7gzGkZmTClZKKVHcSPG6eLlU3hj35Xmgp/BmnZWebbcobu0qqhcPI1vuY3IJCJGdlw63vh/EUtkWePh5l6G0uIy/f2WcbQHJGJpJcLktZxPzuxL/46JCXl4eyMnOJrKysDHl5eY5p8vPzEY1GUVdXh6ysrJjvlpeXG9+t75qCAQMGYMAA6yaIqL6E4QuFUVNaCorymUYwNc2MGahTp+/U1W66xwglU1YXgBaKWMLsRfRNENFQEPDXgZEGRJ1nMEH9ON8KuKCV6sHhHU7DCiQlI6R/zhxmQ4Etpq9xXZq1kfv37UYoqxVw/mVguhJWWrIPWlq6ZcMGqygFK2iN0lLTJaEiHDHyBQBRsWQpvtOuM0LX3g4sMGP2lk14liuj6ZkI//wc0JIvEK2uBGvf2XnTR0qKcU8Wjq3krNaH0tJSREsPQOtyUozqUZWUAgTMzjJEhNLSUhDxhu7fyHdfV5ALWmUlWIWDr7W4lp62SnODzr0Q+PwDBKIModJSsFZe0Po1OHToEEivc5W1ul9ryW6jHrJzLuSz/B6nIPjjDmMneWlpKShofbbRcJi/H+YdYkXJPu7rmZyCsrKyhI1aUBOKoMbHJy215WWoO3Qoxk886Ks2TvsKSxsZakv2WdJF9M1aAaG0BgOgtHRUys8lKwchsYGrcw++YSMYAFJSUFbtA2vdHrTocxwqXsdVDiKEe58BfM9dn8p8Pmj+AJg7GUFfNc9rZhYqI9Z6HcnI4kvg/jpLnaRDvM5W1wVA6ZkI6JvXgnrd8C1dBAoGEIhGQekZQHkpL+O6WgQ0DdnDRsL3zRfm8wqGQJEIT3Mg1qgzCzEA1z2PgU0ey1UWvR1qw55AeW0dmB6fObx5PdD9ZEuejbxHeDn6dplKYEiKx6r94QbU9Dod+PvjwBNDeVoGMI++071LT1RLekdtUjL8paUWn+CqAj65qdm1zTjlLLJ7Byr2OezNSEtH7ZnnQbvmVtDM/6CuZA+Q5EZYcnep8PtB3taGellXXQV/iXNMZzkiR823ttjFnmyEa2tQ/upzxslaAUYI+XzAvU+imghwJyMgVhxy84HSA4imZ6C6YzcgOQWhdXxzdkWEQSstBdOV2PKaWmjtugC1fv5Ph9n8VpkeHcF49mLHoeZCbU6sgVWjuVArP8fWHYFrBqOsphaoqbUc8VzpD5p95cmnI6jHIa6JMkDUbSKENReq9ZWKyoMHeJ7SMqT6kgTXvU8AkQhfZQLgC4ag9b8SAQA+W70SfYccsjHYyuw3/EkOLnk6oaRkRC+8AlTYHhj7GKhVvrH6FIAGhCNxvwsAUd0NpzrExwnRfwf8dQj6fEa+6KRT4dcHyXBmtmPbYC4XkJQEpvfvYWjmuBCJgsIhaz+g9xuo9SEcDELLcgi5mp4Rcy+v14uIwypsKMJATvFyXS6Asf9n797jo6jvvYF/frOXJJvdXHZDEgMBIYAeEIQkVMAqtwgqahEVvGOpp1IUCvSioHgpRbEV4Qj4eKPUWp5z8HjBetra50QP8BQealCCt1ZA1IJEQ7IQcoNcdp4/Zmd2Znd2s0k22d34eb9evmR3J7O/md2d+c5vvr/vD62674eYfTvk136nPT554gTwj4+BwcPga2kB2ttDt9G/nrNtxtfkemOP7YnjX0GuVV6vbWzSzRDdgjp/MYGGfXsAKL9/uUU5p5zSHcvb6k5B5OQb3qf2TIsW38ipaTjZGNpT3Hb2LNprlbsc0rrfw7dqSWgpUUc6cO4w4KP3cLKlDfpZ3Vt8PsiShLONjTjr34az/vY1tLZq56WzRSO1tskNoQPr5LNncLpG6dg61dQMn9UOfK2keDXIQGObD8jOQbMnH2dqaiKWOW4VAvAf3wsKzDvoEqIHuaioCFVVVaiurkZbWxv27NmD0tJSwzIlJSXYsWMHAGDv3r0YOXIkhBAoLS3Fnj170NraiurqalRVVWHo0KFRrTMsIULygQKpFs6Q2zDi/NGQNr4MMX6y9jfawAj1lpnFEhjYpNZMTdHdUksLukJtbVECcX2lCP0tBzUHST9ww6zMkm7CCBH8HvreRP8VnHYrPvh2SnDFiuB1Bd+SMxsF/emHyu1FRzowqkQ3yC8NYtwlEN+9zLi87ta6MLulpw5eqzup3PrP1/VmCqGcSPV/p+6fQUVKGz4/CAwcAqHe1ok07e0RJeUFWW6Ia2+DuOmHgVtc5xQqt9+8JwK3f2w2SA88Cemp/9BWIV08DZbn/6Dkip6qBVpbAjlXQftPusmfe52mG7zX0mIc5auXlg7poacgZt0aeM6eooxWttuVQPVsc2j9Tn0Osr7nN3hQo3p3ID0jkANptRm/f9k5Wi1n6eobIW7zzxDn/+6I0UpvsfxBhTbQyzCdqK7sj9zcpKQFFZ0P0S8f0t0rAgPpnC7DLFHyoU/Q/sT9ge+s3a60y19ZQ2S5IS6doZTc86dYCP8JVG5tVXJnU9KQNmkGpLt+rmuPFAguzCovDBuh/VNcOA6SvzcTADB6HMQgf6UK/8lHXDQJ0rzFoesBtP0ovxn4vqgDS6RV/wtS2ff826b7PjtdgdvtQ//FkKstipSyhkKXryosFiDdpdSuBZRBdmeaQ0sCAkCqkgqCDH8AftKrfEf1A+BS0pTbyyp9isV5o4Cx4003Vf57pfGJLI/SA6cfqKbbTqUdWYA6aYjaI6iOxi8YGLj9rU3s5P/dhMuVDb59GzwDn3o3JSPLfHBcmJQwjVX3O9UdgwwTGaSlG/NjdSkWvl+vAI58GvJ7FyPGAv7PNnjdoW2wheYrZ2Qpuc43/jB0ECSgfb5qypeWdqYLrGFPDbtfxaxbjfsmOCfbJxvTRnLPCaSZZZinQiil4eym+d3qTHohA8T9A+8g+7R/S/c8APGDpcrzZuOGAPPUEqtVyzU3LuvfN3mBHldxQYlxmbNnlIHja+5VjiVmAwbVntfgu4Ihk6Q0+Euh2ZXvvfr+7e1KD392DuS/H1Cey8gK7Gf9cb2xIeQ7IyyBtBekOYzHGJU6SC/NoYybMkt/SHdBuuvnkH78kDKJh/57YFNykGW1gpYkafm/wp4KcfWNENfcDDFKt/+C38NqBWSfVi4TdrsyKM//2xfpLgh7Ciy/+g3EGP/dE33qXPC+j2KQXkL0IFssFsyfPx+rV6+Gz+fDlClTUFhYiG3btqGoqAilpaWYOnUqNm7ciEWLFsHpdGLJkiUAgMLCQkyYMAHLli2DJEn4wQ9+AMm/I8zWGZV0J6R5i5Ri9Ooo5TT/j9PhVH5Ewfme6pfOnxejUQ9waemBnMe2ViUoUYt5A0rAph9xCij1JvUnOP3BLjVV+eLr0yrCDWbKH6AMWNOle4grb4CYMFXXTv8BL0y9XDVHUlwyHfL//T/GtgAQaQ79BaMxpzOYwwlhs0NMmKJMrXmmGeKcAcDNdym1YaEcaEXpd43ba6b2G+Xk6s6BuGQ6xIBz4fv3Z5V1Wq2Q9Qdy/wlQpKQq2/GX1yEuvy7Q5ktmKINo9DOQ+clHPgX8P0DAnyem/l3BQGXbj/8zcNvWFjoAU+POCRy01IOg7sAsLVqp5FEC2g9cbm4OGQAnrf0dfC9tUiZBSU2DGHAu5H8cCLyP9p1MVb5v/tqx4qJJyjb2y1fWqebX6isVmBTbV9ZlV9Z7plk56KU5lAOP1aoEbP8MjFAWFquyX9QAObdAydd+d5dyohfCMDhO+07ZU4DP/q4ELcOUcnZizHhg51tK0JvuUn4nWoD8MfDph5DVYNtmV34X2rSqWRCXX69UcFDXn5rmnz3Mv81muYf6OsgmAbJw9wOumhsIoHSfof77Ly6ZrgzIvWyWcjIy48oARpUGTeJwOrRt+pObw6W1Twwervyurrge4oIS5fekbsbdK4C8AYH38QfI4vzRyvf686DJNnTvKVL9v+uTNf7BtP5jjJCUbeqXF/jdtwfKpklz5kP+uBLy/r1KDqj++9TU6J/EwP9byfYoA/3OGlNKDDKyAH+6mMjOgYzABb8YMEip5JHmCHRMpDqUjopwFQzMagPrgyBtPWmBzzUlzXQmMlNqyk5GlnaRASgBrra/HOnKflarpdjtIdUhzAIzoT/mRxgsJ4QIDHhVn0t1KBU1APNyf+cMUC7e1W1WvwfunEC7U1IgUlKMx/ur5kIMOBei5GL4Tnyt5Lar2wgEOnRkn/HiQZ/qEq5Kh9UG2KyBtuj3ib/Mm34WUWW9mQC+UgKgwiHKsW70OOW+QO2J0LJ56nakGs9jyvtbjYO51PELdjvQpBzXZED5HIPHI6nH+RNfKxdyksnv32IxTkuubVvQZ994WjlWq3db1c9I/RwLCgOTwegCZFnf2aUOig+mnofS0s2/Uz6f8rtVj0Vmvx+nS7mwUi8SUtKU45V68anmi/sHCkpz71TuDowshmQ2q2DwBUN6hlJeVD2W2FOMx0az74++oy7dZTgOCZsNcgeD9BIiQAaA4uJiFBcbawLPnTtX+7fdbseyZctM/3b27NmYPXt2VOuMijMDomAgxIJ7A8+d0185+Yz5TqCWpRl9LT4g8GVz6AJktadEfyWuBhv1dcro8WOfhw4607OnKIOLdF8KccX1Ss/PkOGQvzgEeZtSLF6MHgfphu8b/ly69jbDY+2Apx5Mg/NI/e8j3X4PcPs9oe0J6UFWvrjSgvuQcuTvaP4/bwReUwOmqVcpAbLNPzhBd0CQZs4xri84BUMIpffs6BfKQ0+u8uMcMUY5EKnt1//Y9T0XV84B8vorhfrV59KdEHf+BO2H/x46VXFttTKQz4y/J8YwGMasoohK7Y1pbtKVedNtn35QifoDP9PkH9SnK6SekQWRkaV8buq26a/+1WBKPUj5p/8VU2ZCuvMnaH9ypTKDldqDrL+jYFbaT92uFH9wafdPqpDuMk4hC/h7xvwBr+7ug7jse5BfeloJzDy55j0z/u82AIhhgd4ykZaubKvTpfRot7crlSTUizl1UgmbHSLdFTjRuTKVAUn+XmMtQD7bHKiPaTYRkEUp9u8r/4P53RmHE9L3bgk81n9HHboA2Z1juBAzIyQLLIsfRPuPZgdGnWsXW7r31n+fnS5ItyxQqmcMGqoM/pt9e+i6x+h6cp0Z2q1RMWKsMnW5P53LQD3xqP8/5VUuQi+8CLjsnxBTZkJIFiXFQtXWpqVuINURuNjPyAqcmLI8SgB2zsBA9Y1sj3KRow+Qg8uI6S/+1R5ktW3q4GFdb6xIcxgvjoOZ5fAH1y5W26H+jiwSxPXfVwZmdlAZQQwaCmnNC0B2jiFIF/rqM470wO/n9CnlblJwmyNNvgJ0WE1CG/Cq0l/EWSwQk69UJk9SJ/7J76/0QqoXeOr32JkRuKhJSQt5X3FBiVa6ULsgcLoCFxJq/qrPpx3vASjbfurLwL/N2JTgSuuEMZR581fE2PqM8W/UNrS3Q7p0BnDpjEBbg88temYXyv7jgPb3U2Yqg1zVu2o5eUpw6+4XOj2yYfa9dvMLNjVoDuoxDbmYVqcEVwd9qvvDXxNcFA5RKmkASgdFWpryenDvuvr3U65UZr4DAr8H/UWm3jdfQf7mq8Ase2YX+kF3mYUQsGS5lXQba2CQnjIvQRpEv3xYFq4IXY8quB2uTGOAbEsx9hA7Q78/hgueoADZUOc+XBMivvptZXLwE5IlcPIJV0QdUD4EfbCTW6BUvjCbxEOfYmHzp1PU10FcUAz52Oempc/EtKshhl+gjJIHDD3IwmaHmK4M5BBDR6BdDZCHB2Zdk+77lfltHrW0TOXflGoDweXAwgWH2t8H7RP/F1eUTER6yXhDgKwO7BF5BUp79KkRYdcf1IPscCq3yNXbxbrqItK8xYEDmiFA1pWycaQrPXtmgg+Sas55tnner1LSxg189c/A1KoRTmzC3S/wo1UPqIbAR/f9U79LzU1KOkRwioX6Puq26ddjD6xbPntWGeEMGNv4jw+UvDHAeLAIU5FE2FIgq5+F+t7pSr1mYU8xHozUz0D/Hb1khtJ7ffDjwG3O7BxjyT213Slpxnri6nrUHmRAuWhQJ4xRL1DUHmRA+ezUC47cc4DP/QFySppysvcP/BJOk9u7/t+JvO0F4MLvhL4ePCjWnhK4cDM70UZBevApyG9sVSa20PeUqFICF9TCnqLcLtcH6R3Rb2fhucDIYuDB5eTDAAAgAElEQVSj90J7edUTj/r/5kYgtRDClaHMYOYnPLoeZPXkByjfWzXQz8jSLl5E0fmQ39sd6PVV2xRchik4AFMvBIHA71A90fc/13/hpAuQSyaGTnOsF20Pckqq8jkPHwnJ3zsPs9J5JoRJxSMD/Yj706eU33ZIgBzhQhuIWI8YQOj6gmvg3nwXxM13wfdDfwpPeoZxOYdTuahRx4moqYHBx2NDD6v/O5ZfGLgrpPYg+3yGSSqEMyMwDXDEHmR7YH8FV7FQ13XVXMj/tU35t3qB3EEPYQizO59WqyFVRUyYovSijxwL+R8fKt+zTLdyPJOkwDEACFwwAuZ1kIFAsBlhsiwAyvnOH1wa2qq7i6T+RkRKKmR1f50OuhuoDnq8eUHgOa1cYQfHLbVDwSSIFiafn5SZrQTINn8lkPY2pWRkR1VQAKUkrZ560aOWurPbg3qQTWKstAgBtO5zCichcpATjtnJUk/9Yv7LhRDBPbGTZkB8t0z3+HJIjz4XmD5Sz667Da+/XZCTB/HdyyBMTsrSjf+q5LHpewc7MkJX/7PofBgmxNC1BQDk7b+Hb+mtgdvR6t/pZzgyE9yDrO+pCP7R6XsUi8433jIMJyRA9s8ypAbIuhHZwpEeWGeYHuSIgkt++dMARKSR24OKlCm7W88CFkv4W+mAkmKh8ge8hpQVfQ+yocybSY1hqzEwNuRqa3mE/t7SE18r+9G/fqHO3ucvKWhgNl0xoJyc1HQX9b3zCyEKCgP71z/Fp3rC01c6EEJAumxWYJsASA8/Bemx5wPLqNsYnJOo3lJ3ZgQuLFrPBnqQ1ZquNnvgZFs4WPsshDpjkyxr+0YrP2ZWCkr/GaqTxeiZ9Jho39NIKUYRiHMGQFpwb6D9kmTo0RGSJTT3uzPrV3MzLRYlb/2K6wGLBdL3f2xcTutB1v2uzW7N6lMN9DnIaQ7Ao3zPxcCiwDL+Kd9RMEiXumAS5AX/3nUXStrvMDWoB1l/N63k4pC7ZAZR9yCnKr37P3ssNL+0i6SfPgqUTAyc0NXA3qzsZ3CPpJ9WVcLayR7m4ABZCOOxR11evfiw2mD59RZI37lU93kZc5DFxGnAubpzivZ7012g+INiObjHzpkB+MsFGsrp6fl7kE1v7+v/rS8HqS7bQQ9hCFcGQmsVW43vY7NBmjEbYsBgSGXXaHdupMuv809Trjtu6C/8vCfCp1io7xOB3FBvnOhD/b86TmJI0Hld/Y4EH8tN86xNOliC2e3KhE/h2mrSgyupd8H1dZDNajGb0Y/jsijl/wAok+oIEfqdMDvm6p9Tz0eTr4S48V8NedBhm9BxK799tJNIuNdT0yBbrbAsWxXymjT5SuOyQgBCQFZndNPTH2isNt2AQCUHOmIbJkyF/J+/CTvBhibLY34bO5j+1nxrizZFsJh1a/hb4Xr6gHjS5RBjLwo8Ds4fjlAyJ5r1K+twKQHfsc+V18JNBR6crxYNfUCf5lBunX31ZcSUF3FBiTL47NiXHQfius/MUFtapR/UI1n8Ob9NhrrJmuDaoPpgQ/1M7SnA2bNKMJiTF6i9O+dOyEcOBqaJ1gsueK+y2XW5zcp7SXf9XPmO/8dzyvNp6RCSpFSKEFLoZzO6VLkA9OfAC4fTuIwWIAfleeoDCrUudUtL4G6Hmoun61kQ+hny1Lzc06cCAbE/7cT0lrnZycysPXpqbnPwINbO0u4shQkeTU5GUVEvztz9lO/B8JGQNmwL/X2nBfUgA+bjCgrPhSi7BvL//AlyexvEmSYtoBDfnY7MQUU47crS6kWLkWMhF0+EGHORctF9+iTkQ5+ErFYEDRQSBYWBHmT196N+xq5M5RjlNr/DYyo4GG5vC6rB6v/so+mA6CRx3gWwnBe4q6d992wmPcjt5tUiXHf9FKc3rA4MRgsnJEDu4MJN3Qdmd0nVoNmeGth/ntzQi6sc5a6CNlAKSqqUDECafIVxnU4XxOQrIC78TtjPTwwY7B8c7/9N6XOndekaIlN3l8E/oZcYFeXAfHUdF5dBFA6G74n7A09arIBF19NoUv1D8peS1F7XJqCJogdZS7Ho4Hijpliox660oB7k4Nl71U6k4HS5MAMRlf8r2yY9+G/wvbghMAkQlLt/Qr3ADWqruGS6MnNtEC1A1uogt/nzqKP4XaltcudAWrpKmbXznf9Sjt82Jb1PncBIFE8wT1/RfY+1uwqF50K69HJl+5hi0QUdBZ1pjuiugPTyQwNkEZSDLFJSlQOLWT5k8N9e9j3lxxyh91V68qWOc9RUupODuPw6bZ76kFzgcPQB8pwfGAaoieCrzQjBg3Tfr8K0z6S4OaDM/tR/UMigQe29JSmQOxdlD7JhwGGaQ7kgAiJ+L8SoEmWZD/eFLUyvLavvvTIZ6R+yLep0mi1nQ4NNLcUiKAdZCF3x9VQloGxuNNx2Fo50pbrDthcittf4frbALT5/UK5ujxw0uY6QJOUWrq7ag/K8BSLSBWC4ADnLowTcWW7gG3+JoZazoRVXbLZADrV+ey/7npLrOflKyB/7JynQepBNAo1wPTo2uxLglXw39DV133QxxUKj3Vky+c6mpHS9B/myWUruvS53OOIIff12mByXhGSBmHsn2g9+7O9BbgbS0rSOgZSSCcAx3QVYphuWHwXqzSPbA9lkkouQ7dZXXAie3RSA9JNfmueRh6P+BtWpj5vbjMcYddIGsxH9MSacGcqxw6w6QPDEPn5pl05H44goxtd00IOskn78kDI1sL+UnjBbTuu5TA0cb8x6fUePg/TLZyD0A3CzPLA8/4fQZdNdynclwsWNdN08AIBv11vKE/qB7BbzHmTh7gfx+OaOz+VBRJoDOG8UpNXPKKVYf7lM+a4YBnt3EDZZrYCa9h2cOmQWBKuBXUcBclODMo20+ttVv6+6Cwbxw59BqJ0l6u8hpKCAyWerrkNNtSgcrKQt6gJkw+zAwfnS191hGouotasNOciyz3xG4mC6nnXhzlFmoAT86Uj+O6YXlEB+89+VmWrNqMcxe0rgmKJuqyR1mGLBANmE9L2bI74uyq6BGNm5wX8iv79/gIFu7viUFF1gYw+dtS/S+oQw78HSL9NBoGagD2ivuhHiiusCvWvR0B9QTQ4g0tOvQt72POSdb0VcjTbQI1jQSVw4nIEgtqNcP3uKEiCb5R2aSXMoAWZKqvJv9b0j/JhETp4S0Pmvbjsi3X2/UqWko15KIDCdZktLaDCjHgxtumAYUNJ31J7ilFTIZ84Ap2oN0+0Cyu3vyIcIBHpF/e+jXcgF395Vezv1gUtwj1E01INfUIAsSi6G6D9QKSGk5ju3thgrrlisyj4dMx7yf79hqIQiUlIh1KnL/Rc9co2SdmJaccQSJgMtyw3phz8zf003gKZb1IO5WbtcWRBh8uE7IlJSO0yXEtfeFuh50/9mwkzmoyznP/mdaQ7tpUxJDVRqMKtGY7aNwRfEubr3ziuAuGUBxNjAyHcRKd/YtL266jHaeIXQADls9ZxY0lIs7CEXx3KjeYAcNf2FhhBht0dNH1HLL5rWpdeCjVQId45Sk3lI6PFaBFWniagzF3rq8UYfIOvPNfqBnPYUpcpMF4ncAsiyrPSMjhgDWX8ujCZAVgUHyCZTRGuBYKTzk9Plr7qjS7FQOyJ0E/pI+t+2+nlF04Oszranz+m22oznhqzwAXLYC6/sQIAsLNbAOJEoPhshWfwVktTfqn97Guu1CyoxqAiWZ14PvxL9YGO1zepdGSHYg9wTxDmFgZqs0VJTLCQLADVATtX1wukGIYRLF+hJ+tv6KSkAUoBB0bdDGy0qSaZBn7DZAqPKTSY86XD9wb2q+jzmaAJk1Eefg3zuMKVk24lvlHSB6ddC/vsB05zwkDZFGSDrbz9qz8261TwnKt2llF0zzUH2X/HbggIqQzmwdMBbrVyY5QQFEgMHo0OuTEOArJ1kg1NW7EG92F2lHsiCLvCE1apUeNG/V0uL0rOiXniqOd3DR5r3WKnUA/qJb8JXJFC/x4WDAf202JEOqup+j1kPcmjwKP1ouXnPcoxIV96g/dtQZjI/wjHPv//l06dCgh4hhPLbaGkxPzYElQwDEDpIT5+HLQREUCpbp+nLuPnTiYT+LprForTJLFCMNZd/f5ldKISZoS1q6joHD9cqj0Qisj3KdptcgGl30vz7SYwY2722AZHHagRTjzetgfOHsOmCuAxjgNzttgkBoVZsamkJvE9Hbda/3hzcg9zFFItUh5KuoSvTJqy2iMc4YbEo39/gkp2mAXKgfr8m6PiuvygXVquxzF+YtutTLLTxQgjt/AjLajVU2NBE+/labcp+TXUE9q/agyw6zkHmIL1eIlJSIWbPg/SzRwNP6lMs9CMyO3OrMFa6G9SoP7oIV9dqkXyhq8fcGdJjzyvl2QDlIK0GUhGmTAWgbVtUudgApO9eBsvP1wD5/SHy+0P0H6gUH+9gelXt84s2EA9+35lzIJncKhL9BykBWqvJRCFaDrLag2wSIOf11+5aiKA6nSLVAXHLj4DR4xCW/oLNZg8EDR1V1OgqNSiIlMak9la3+Afp9T/X2IaOqOuu84YPkNUDanBuX5ipSw3r7WYOstYDbbIvhadf5+4ORfue4y4Bwt3BAYBzTMZRqPwj1FF93HBrXeNwhq/+E00PMqBUElEnX+kmofZKpaSFTgoFQKta0FGViFjQcpCDLgomXwlJnWyni7S67QUDIU2Y0vHyQ0dAWrMZwiQl0FAPOg7Uz8wwo6y+19VuDz0OxopuKvoO7/rpeldlfQ4y0PVBeqkOpSKGvg5yNBzpoccrs9+Wuk8NJSWDjqWGFIvoLmz0KRbi6hshLi6DtHI9xLWh5ShNWWyGAbOaaNMlhVCC49S0wJ1m9fcmSYg41R7Yg9yrpCv8tVCdLqChXjn56QZZibETlFvpHdTY7BHd7ZHSAuTwwZEYOiJyr14HRE4eMHEq5D+9rAxS3P020HA6yh5kdDpwk5b+onMNdJiUIYqFgUXArr/41x2mTmpw760+ZeacAYGrfZNb0dLkK+BrqIP8QYX5+wcPdAwu86ZS2xBtKks4aqmwSCcC/3vJDaeB9jaIQUOVsmGdDZCB8DnjaopKmgOYvxSo+QbyH/53xF4HNf2k2z3II8YC/+9/jD3XPSxs2ogq3OxjgHISO9Os1As3C8Qc6YGgM5jZxblJ0Gy554HI7esMQw/ymZB2yOpt2F4IBg05yDrSLQtMl++ULhz7DLWa9dR90RsXDWbUKgT6Aar6lAAhlLb5Z8uMqc7kMuuPf9GkWKg5yJFSN1LTlLuTsq9z458c6cYSmuq6gqnHQH1nQPCxVD9IPcpjvLVwMFAwUJlEZsC5QEfVsEJWEOhBFpIUSPfrzOBZ/2Q/YvKVSnqempolBKtYJCIxc64yMEr/Q7elKPmVQRN69Fqb1JOXviRTZ6g/uo5qOXaTyCsIBNlpDqVeb9QBcucuAsLOwhVueXUiixgfnA15wsG3ntVbjGp+nlmKhT4dKNy+0h/w0hzGiWIMt910VSyCAx5b1y5EQqgnlUgnArUs4VtKdQQMGKR897oQIItwF6TqxBVpDkgTpkA+fVIJkCOlWATNQNZVYsx3/HVcO8wQ7zURe86sVuD4UaW9JhV7RO454fNpTXuQezgIU7/vaQ5tkgzDe+rHifS0nDxACAg1ABkxNvx3srO0KkkxSMlRv9MxqOwh7vgxEOZ6KaxhIyBuv8c4w2pwoGZPBVAf+2NwZ7ZZfw4M7kHuZIqFmDkHqD2h1Ir+6gvlyc4EyGZ3skz+XsyYDfTLhyi9OPCkmr7nn3XXcAdWbWtuQcQ7uJIrA5ZHNkbf3mAWq3F/+gesC3cH53w9T64yaFOSgBLd9rEHOTFJZddAnnqVUgpLu7UR417HLpAefa7DCgxhqT+63twO9YDtidCzBXS5B7nTeqoHeYBukpbgnn6rsQdZWP0HFP0BPTtH2QeO9PDTX+urYQQHQtagAFldtj0oUPRfUIQM3uskUTIRcsX/hRhyXviF1Db4yxEi3aUE/9Hu+xRdABtcb1mlDv5TTzJqD6Na6sh0vUFF/LtIpDqUi+WOarL3AumnqyOnlcA/oMffGyNyQ1MsxG33QITrrdFfcA0eDhz5NGz935hRq1SkpgWmm9X/ZtTjcm/0IOcPgLTmBW1QmWXpI7FbuXbs6/6pXlxcppSJ7GIKmZ508bTOv78QoZM7Bf/eOzM/QE8JVwcZ6PREIdKsWwEAvud+DfmUV3myM9tmlq5p8p0WVmtomTZ13woRmnLjb6t0ywKIEWOib09nqeXhVOr3OdLdrCDS3SvMU1uEBMiRj2sMkONEaMGEPzdnTGi5r97W6ZHgelGkWMScOm98RzVhu9iD3Pn2dC8HORxhswOjSpUScsEzHAbXQQZCZroSkqSUyYrUq6L+vTMDaPTPoqdOzRw8c5V6QPcFHVy0i73uHVZEycWQnnsjbOk+ACEXCiIlFRhyXmDa7I7o/74gzCyR+kkvoART0kP/BvQLP0JfjCoGzjZ3bvBRGNL06GZs62nivFEdL6Q/ieWFTookIvXEqq/ZU5VyY19/FZP9F5H6ndbP+KdP9VCn7+2lQKs7FRciimEPsvD0g5g4tdvriangoDLC4NZeE6mKRYQc5Ijf+dQ07c6VaQm+MIQj3TgA1maP/relnsdaTQbVq/u9p3+nmdkQ+vQWtaRnv+gDZBGu6IEQ7EFOBtI1kcvKJQV7inJF1sMpFnoiMxtyfv/IgRR0o+RjcZsxErWnsYP2dIV047/C9+G+0AGOWs+vfjritJATuzR/SeR2qRc2TlcgZ82VCTTWG8r9CEmCrPaChAuQY3CR1NFnGtLDmJMHccfiqHe9oTpDmBm8xOBhSjm7oYE6zmJA5KofYsTYmIzuTzpaykJ6+BNSOGowU3Se8reR7hzEijbwJy3QO64P4tWgIJ49kbFgdgHdlwRvV2oatFnW4sWQgxw8SC9CikWkHGR9ylZnSg8Gp1h0Jj1DqxpiMmmUtXcCZGnRg8aYwp8O1a3OPG3lrINMvUSo0wv34oFYzP0BhNnVbbDeTrFoM5/9qjtE7jnmvarqNul6RKW5d4bkhYmOyhKqgbY+9zEjE/j6WOjJRgoql6NSy3uZTasea7peemnDf5jP8hatMPtGlFwMae2LEPryUWROPYlFW75JRzickJatUsor9hZDD7JJMNzeFvpcMuqtY1+8hOQgpyh1mnuik+KJF8NO3GKgD+iCZyTtRhUL0393JDh9rDPfZzXd0iyoVtscTR3/bgiZNE0d/9GJFIvwK5dYB5l6UWpa7/YgRxu49FqKhRogd77OczRMD/pqr7h+NHfJxM6vXL2lrI6oBwIHSKsNGD4SOPix8jhMD7IYd4mSA21S4znW1Lq44uKy7gXHunWZvsbgODrqPuziGIbgCWx6nHqcSgv0IBtmzdPSLnr4mNHTYjlILxEFBcgiJRVyD31mIjPbOBlJOGa9qup05l2dalofpHYiHUdcUAL5jf9tvp6O/rbkYuDmegizfPHeSrEIp6OSq9GQOq6DzACZYqeXe5Cj1ku9KFoVix4KkE31y4eYelWnZ3YM0eAfya/L5xYZWcr22GxKyTt/b73I8k8mEDQ4UggBFHchOO8i6elXu3WAFrffE9W07hQFNVAJN+Ax0aSlKyfIjGxdb7G+ikXs0oXi6tvSg6x2HhQODk1r6G1mF9wpKUBTmAA5qh5kXWAbTZCuCq4b3pkAWZIgpoSZkKeXUiyCSUsegXz479HNQNsR/3dGjtCLzACZYseV2f36rz0hXN3eWFO3PZq0jxgRFgvETT/s/nrOKVTybUeMhfw/f1KedPlvl1ttSpF+9WR0QbEyVbZ/etp4Ed086UvBI+Kp69Qe/QSouhEN4cqAtHI9kD8A8m+fUp403H72B1xJHiALdUr2JN+OsNQBwf7tU2aBvCH88r0gZIpmQLlQaWo0T0lQg+YIAbJIcwTGgXQifUQIAfHDnwMnqiC//lLncpAj6aUUi2Bi5FiIkTEa4yH592OEPGQGyBQz0vd/bH6FHGdi/GQg3dXzI9LV9bfHPge5p4mRYyE9/hsIt26KWfV2efCUo0L0ShoFJRH1pJ3eyQF6cSQGnKv8oz20ioV0z/2Qd5d3XGM90akz6fXZHmR/ectLZ8S5ITrBga6QAhcoJudHIfmnNY+mB7kLd7ykcd+F3NamBMixOgda/NvTiymVMadO2hIhzSKJt44SjYhF4nwPEJ5ciMlX9PwbqQfBXuxBjiVDcAxAZGT27d4nih21nFUyp6zoUizEOYUQ18dn0qaYUj+Pbk59nqiE1Qppw7b4lnULFpx2YLPqeokjDdKLlIPsvzuZ3kFJ0w7a1JkScdGsLxE7xKKmjaVJ4AC5oaEB69atw4kTJ9CvXz8sXboUTmdoL8SOHTvw2mvKrFmzZ8/G5MmTAQBHjhzBpk2b0NLSgrFjx+L73/8+hBB4+eWX8fbbbyMjQxmVf9NNN6G4uJt5mkSR5J4DnFMI6cY7492S2FAPxgyQqSNqzeikDpCTvGKFmYFFkBY/BERTyzpJxSzoixU1P1fyV0mw2ALBmOlU01GUeVPTALo4w6IQQunt7eaAZm19548CJkxVJqFKVupnksgpFtu3b8eoUaMwa9YsbN++Hdu3b8ett95qWKahoQGvvPIK1qxZAwC47777UFpaCqfTieeffx533XUXhg0bhsceewyVlZUYO1bJUZk5cyauueaaXt8m+nYSNhssv9gU72bEji20QgaRGVmbdTB5UixCJFIvZIwIIYBR8R0r8K2jqwmOxnol8BWRepA7zkFG/0FAZjak6+7ocrPE5CsgRpd2+e8N68otgJi/JCbrihs1LSxCD3Lc+8crKiowadIkAMCkSZNQUVERskxlZSVGjx4Np9MJp9OJ0aNHo7KyEidPnkRzczOGDx8OIQQuvfRS078noi6w9fFJBihm1Nm5hKtrPVwJoacH8dK3gxroqtUmbLbIKQlRlEwTjnRYnngR4rwLutws6cZ//XZOYhROMuQg19XVITtb+SJlZWWhrq4uZBmv1wuPJ1D3zu12w+v1hjzv8Xjg9Xq1x3/5y1+wa9cuDBkyBLfffrtp6gYAlJeXo7y8HACwZs0a5OQk8W2DBGS1WrlPY6wn9+k3/v9n5+WjFoDL7UHat+Dz4/e063z3LEfz26PhuHiKYZR9MuzT2oFD0PbPI+iXmzwD8pJhvyabWO3TepcLTQDs/fLQcvyfsNhTIOwpaAPgysgMOZaedqSjGYC7Xy4snr71mSby97TJ5UI9AE+2O+wyvRIgr1q1CqdOnQp5/sYbbzQ8FkLEbAac6dOn4/rrrwcAbNu2Db/73e+wcOFC02XLyspQVlamPa6pqYlJG0iRk5PDfRpjPblPpUc2Ai1ncdKWCnHLj9BQNAKN34LPj9/TbrpkBppraw1PJcM+lZf9EtKp2oRvp14y7NdkE6t96vPPntfqUMZwtLe2arfx65uaQo6lPv+gbu/p0xBy7GcAjKdE/p76mpRxE7U1J9A/zIVJrwTIK1euDPtaZmYmTp48iezsbJw8eVIbVKfndrvxySefaI+9Xi9GjBgBt9uNWt0Buba2Fm63cjWQlRWY8nTatGl4/PHHY7EpRH2eKBgY+HdvVP8giiOR7kyq8nSU4NSUiSx/z+TZ5sC/TWfSi5CfTD1H6jjFIu45yKWlpdi5cycAYOfOnRg3blzIMmPGjMGBAwfQ0NCAhoYGHDhwAGPGjEF2djbS0tJw8OBByLKMXbt2obRUSUI/efKk9vfvvvsuCgsLe2eDiIiI6NtJHaSnBsXNzVq+q+kMcFIUM+lR7IkkKPM2a9YsrFu3Du+8845W5g0APvvsM/z3f/83FixYAKfTieuuuw7Lly8HAFx//fVaPvGdd96Jp59+Gi0tLRgzZoxWweL3v/89vvjiCwgh0K9fP/zwh92fbYyIiIgoLHXAaqZbqSPf3tbBID0GyHGhVbFI4DJvLpcLDz74YMjzRUVFKCoq0h5PnToVU6dONV1u7dq1Ic8vWrQotg0lIiIiikCMGANcMh0o0N21VgNjsx7kdBeQ5mCKRW9LhjrIRERERH2BKBgIcfs9kBvrA09qAXLoIDwx+QqIseNjVqCAoqSlWLSHXYQBMhEREVEs6af3VnuOTW7nC3sK0C+/lxpFmih6kOM+SI+IiIioLxH6fGOp495K6mVRzKTHHmQiIiKiGBNXzYUYcC587+5SnogQjFEvUwNk9iATERER9R7pe7dAlFwM4c93ldmDnDjUtJdEroNMRERE1GdJHdfcpd4lpI5TLBggExEREfUUNUBuZw9ywhAcpEdEREQUP+cOBQAIT26cG0KaKHqQOUiPiIiIqIeIaddADL8AYmBRxwtT79B6kBkgExEREfU6IQTA4DixsA4yEREREZFOFHWQGSATERER0beH1HGKBQNkIiIiIvr2EB2X3mOATERERETfHpxJj4iIiIhIJ4rJWxggExEREdG3RxRl3hggExEREdG3h9aDHD7FIu51kBsaGrBu3TqcOHEC/fr1w9KlS+F0OkOW27FjB1577TUAwOzZszF58mQAwL//+79j165daGhowEsvvaQt39raio0bN+LIkSNwuVxYsmQJcnM5iw0RERHRt5qWg5zAPcjbt2/HqFGj8NRTT2HUqFHYvn17yDINDQ145ZVX8Oijj+LRRx/FK6+8goaGBgBASUkJHn300ZC/eeedd5Ceno4NGzZg5syZ2Lp1a49vCxERERElONFxD3LcA+SKigpMmjQJADBp0iRUVFSELFNZWYnRo0fD6XTC6XRi9OjRqKysBAAMHz4c2dnZIX+zb98+rZd5/Pjx+OijjyBHGK1IRERERN8CUdRBjnuKRV1dnRbgZmVloa6uLmQZr9cLj8ejPXa73fB6vRHXq/8bi8UCh8OB+vp6ZGRkhCxbXjbaP8YAACAASURBVF6O8vJyAMCaNWuQk5PT5e2hUFarlfs0xrhPY4/7NPa4T3sG92vscZ/GXiLv09Z6L7wAXCYpvapeCZBXrVqFU6dOhTx/4403Gh4LIZQ5y3tZWVkZysrKtMc1NTW93oa+LCcnh/s0xrhPY4/7NPa4T3sG92vscZ/GXiLvU7nuNACgvq4Ood2mil4JkFeuXBn2tczMTJw8eRLZ2dk4efKkaQ+v2+3GJ598oj32er0YMWJExPd0u92ora2Fx+NBe3s7mpqa4HK5ur4RRERERJT8/DnIciLXQS4tLcXOnTsBADt37sS4ceNClhkzZgwOHDiAhoYGNDQ04MCBAxgzZkzE9ZaUlGDHjh0AgL1792LkyJFx6Z0mIiIiogQiJUEVi1mzZuGDDz7A4sWL8eGHH2LWrFkAgM8++wzPPPMMAMDpdOK6667D8uXLsXz5clx//fVaKbjf//73WLBgAVpaWrBgwQK8/PLLAICpU6eioaEBixYtwn/913/hlltuic8GEhEREVHiUKtYtLaEX0RmaYcQx48fj3cT+pREzkNKVtynscd9Gnvcpz2D+zX2uE9jL5H3qVx9HL77FwAACv+4z3SZuPcgExERERH1GtFx+MsAmYiIiIi+PSQGyEREREREAexBJiIiIiLSkTquasYAmYiIiIi+PdiDTERERESkwxxkIiIiIiKdKCaOY4BMRERERN8e7EEmIiIiItJhDjIRERERkQ5TLIiIiIiIdJhiQURERESkwxQLIiIiIiId9iATEREREelEkYNs7YVmEBERERElBiEgJkyBGD8l7CIMkImIiIjoW0MIATF/acRlmGJBRERERKTDAJmIiIiISIcBMhERERGRDgNkIiIiIiIdIcuyHO9GEBERERElCvYgB7nvvvvi3YQ+h/s09rhPY4/7NPa4T3sG92vscZ/GXrLvUwbIREREREQ6DJCJiIiIiHQsDz/88MPxbkSiGTJkSLyb0Odwn8Ye92nscZ/GHvdpz+B+jT3u09hL5n3KQXpERERERDpMsSAiIiIi0mGATERERESkY413AxJFZWUltmzZAp/Ph2nTpmHWrFnxblLSePrpp/H+++8jMzMTa9euBQA0NDRg3bp1OHHiBPr164elS5fC6XRClmVs2bIF+/fvR0pKChYuXJjUOUo9paamBps2bcKpU6cghEBZWRmuvPJK7tduaGlpwUMPPYS2tja0t7dj/PjxmDNnDqqrq7F+/XrU19djyJAhWLRoEaxWK1pbW7Fx40YcOXIELpcLS5YsQW5ubrw3IyH5fD7cd999cLvduO+++7hPu+nuu+9GamoqJEmCxWLBmjVr+NvvpsbGRjzzzDM4evQohBD40Y9+hIKCAu7TLjp+/DjWrVunPa6ursacOXMwadKkvrNPZZLb29vle+65R/7666/l1tZW+ac//al89OjReDcraXz88cfyZ599Ji9btkx77qWXXpJff/11WZZl+fXXX5dfeuklWZZl+b333pNXr14t+3w++dNPP5WXL18elzYnOq/XK3/22WeyLMtyU1OTvHjxYvno0aPcr93g8/nk5uZmWZZlubW1VV6+fLn86aefymvXrpX/+te/yrIsy88++6z8l7/8RZZlWX7rrbfkZ599VpZlWf7rX/8qP/nkk/FpeBJ488035fXr18uPPfaYLMsy92k3LVy4UK6rqzM8x99+92zYsEEuLy+XZVn5/Tc0NHCfxkh7e7t85513ytXV1X1qnzLFAsDhw4eRn5+PvLw8WK1WTJw4ERUVFfFuVtIYMWIEnE6n4bmKigpMmjQJADBp0iRtf+7btw+XXnophBAYPnw4GhsbcfLkyV5vc6LLzs7Wrq7T0tLQv39/eL1e7tduEEIgNTUVANDe3o729nYIIfDxxx9j/PjxAIDJkycb9unkyZMBAOPHj8dHH30EmWOaQ9TW1uL999/HtGnTAACyLHOf9gD+9ruuqakJf//73zF16lQAgNVqRXp6OvdpjHz44YfIz89Hv379+tQ+ZYoFAK/XC4/Hoz32eDw4dOhQHFuU/Orq6pCdnQ0AyMrKQl1dHQBlX+fk5GjLeTweeL1ebVkKVV1djc8//xxDhw7lfu0mn8+He++9F19//TVmzJiBvLw8OBwOWCwWAIDb7YbX6wVgPC5YLBY4HA7U19cjIyMjbu1PRL/97W9x6623orm5GQBQX1/PfRoDq1evBgBcdtllKCsr42+/G6qrq5GRkYGnn34aX375JYYMGYI77riD+zRGdu/ejYsvvhhA3zr3M0CmHieEgBAi3s1ISmfOnMHatWtxxx13wOFwGF7jfu08SZLw61//Go2NjXjiiSdw/PjxeDcpqb333nvIzMzEkCFD8PHHH8e7OX3GqlWr4Ha7UVdXh1/+8pcoKCgwvM7ffue0t7fj888/x/z58zFs2DBs2bIF27dvNyzDfdo1bW1teO+993DzzTeHvJbs+5QBMpQejtraWu1xbW0t3G53HFuU/DIzM3Hy5ElkZ2fj5MmTWg+R2+1GTU2Nthz3dXhtbW1Yu3YtLrnkElx00UUAuF9jJT09HSNHjsTBgwfR1NSE9vZ2WCwWeL1ebb+pxwWPx4P29nY0NTXB5XLFueWJ5dNPP8W+ffuwf/9+tLS0oLm5Gb/97W+5T7tJ3V+ZmZkYN24cDh8+zN9+N3g8Hng8HgwbNgyAkt6zfft27tMY2L9/PwYPHoysrCwAfescxRxkAEVFRaiqqkJ1dTXa2tqwZ88elJaWxrtZSa20tBQ7d+4EAOzcuRPjxo3Tnt+1axdkWcbBgwfhcDgS+hZLvMiyjGeeeQb9+/fHVVddpT3P/dp1p0+fRmNjIwClosUHH3yA/v37Y+TIkdi7dy8AYMeOHdpvv6SkBDt27AAA7N27FyNHjkzq3pCecPPNN+OZZ57Bpk2bsGTJElxwwQVYvHgx92k3nDlzRktXOXPmDD744AMMHDiQv/1uyMrKgsfj0e4YffjhhxgwYAD3aQzo0yuAvnWO4kx6fu+//z5efPFF+Hw+TJkyBbNnz453k5LG+vXr8cknn6C+vh6ZmZmYM2cOxo0bh3Xr1qGmpiak1MvmzZtx4MAB2O12LFy4EEVFRfHehITzj3/8Aw8++CAGDhyoBRA33XQThg0bxv3aRV9++SU2bdoEn88HWZYxYcIEXH/99fjmm2+wfv16NDQ0YPDgwVi0aBFsNhtaWlqwceNGfP7553A6nViyZAny8vLivRkJ6+OPP8abb76J++67j/u0G7755hs88cQTAJTUgO9+97uYPXs26uvr+dvvhi+++ALPPPMM2trakJubi4ULF0KWZe7Tbjhz5gwWLlyIjRs3aimAfel7ygCZiIiIiEiHKRZERERERDoMkImIiIiIdBggExERERHpMEAmIiIiItJhgExEREREpMMAmYiIiIhIhwEyEREREZEOA2QiIiIiIh0GyEREREREOgyQiYiIiIh0GCATEREREekwQCYiIiIi0mGATERERESkwwCZKIyvvvoKKSkpKCgoQFtbW8jr//znP/GjH/0IgwcPRkpKCvr3748ZM2Zg+/btkGUZADB58mQIIUL+27t3b29vDhFRwrrjjju046PVasWgQYOwYMEC1NbWGpZ7/PHHYbFY8LOf/Szsuv70pz9hxowZ8Hg8SEtLw3nnnYcFCxbg4MGDAIAvvvjC9Lh8/vnn9+g2UnJhgEwUxubNm3HVVVchKysLb775puG1yspKjBkzBn/729/w5JNP4sMPP0R5eTmuueYaLF26FHV1ddqyN998M6qqqgz/lZSU9PbmEBEltEsuuQRVVVX44osv8NRTT+HVV1/F7bffrr0uyzKef/55rFixAi+++CJaWlpC1vGLX/wCV199NYYOHYrXXnsN//jHP/Cb3/wGdrsdDzzwgGHZN954w3Bc/utf/9rj20jJwxrvBhAlIp/Ph82bN2Pjxo345JNP8Nxzz+Haa68FoByk582bh/79++Pdd9+F1Rr4Gf3Lv/wL5s2bh9TUVO25tLQ05Ofn9/o2EBElE7vdrh0rBwwYgI8++ggPPvggmpubkZaWhrfffhsNDQ146KGH8Oqrr+L111/H3Llztb9/77338NBDD+Gxxx7Dfffdpz0/aNAgXHzxxTh58qTh/dxuN4/NFBZ7kIlM/PnPf8bZs2dxxRVX4LbbbsPbb7+NL774AgBw4MABfPDBB7j33nsNwbHK6XSaPk9ERNFLS0uDz+fTUtyeffZZ3HLLLbBarZg3bx6effZZw/IvvfQSHA4Hli1bZrq+7OzsHm8z9R0MkIlMPPfcc9qBuKCgAFOnTsULL7wAAFoe24gRI6Ja14svvgin06n9N3369B5rNxFRX/DJJ59g06ZNuOiii+ByuVBdXY033ngDd9xxBwDg1ltvxa5du3Do0CHtbw4ePIiioiLY7fao3mP69OmGY/OLL77YE5tCSYrdXERBvvrqK/zxj3/E/v37tefmzZuHn/zkJ3j44Ye1AXjRuvbaa/Hoo49qj9PS0mLWViKivmLHjh1wOp1ob2/H2bNnMW3aNK2XeMuWLRg1ahRGjRoFAOjfvz+mTZuG5557Dr/+9a8BoNPH5i1bthjGg+Tm5sZoS6gvYIBMFGTz5s1ob2/H2LFjDc+3t7fjzTffxHnnnQdA6eEoLi7ucH0ZGRkYOnRoj7SViKivuOiii/Diiy9qd+7UnmB1cN6RI0cM6Ws+nw/79+/H6tWrYbfbcd5552HXrl1oaWmJqhe5f//+PDZTWEyxINJRB+etWLEClZWVhv9uuukmPPfcc7jwwgsxatQoPP7446bl3xoaGkyfJyKi8NLS0jB06FCce+65hgBXHQOye/duwzF5//79aG5uxuuvvw5ASbtoamrCk08+abr+4EF6RJGwB5lI589//jOOHj2Ku+66CwMHDjS8dscdd+CKK67Al19+id/+9reYNm0aLrroIqxcuRIjR45Ee3s7du7ciccffxzvv/8+srKy4rQVRER9x7PPPotJkyZhwoQJIa9dffXVePbZZzF37lyUlpbiwQcfxP3334+jR49i7ty5GDRoEI4fP46XX34ZX331FV5++eU4bAElI/YgE+k899xzuOiii0KCYwCYOnUq3G43XnjhBRQXF2P//v0oLS3FkiVLMHLkSEydOhWvv/461q9fj8zMzDi0noiob1EH582ZM8f09blz52LHjh3aYL1HHnkE27dvx6FDhzBr1iycd955uOOOO3D27FnDWBCijgi5s1ntRERERER9GHuQiYiIiIh0GCATEREREekwQCYiIiIi0mGATERERESkwwCZiIiIiEiHdZBNHD9+PN5NAADk5OSgpqYm3s2ISrK0NVnaCSRPW5OlnUBitbWgoCDeTUh4iXIs1kuk71As9KXt6UvbAvSt7UnkbQl3LGYPMhERERGRDnuQiYioy55++mm8//77yMzMxNq1a0Nel2UZW7Zswf79+5GSkoKFCxdiyJAhcWgp9VWyrx348H001H4N2ZMPjCqGkCzxbhYlOQbIRETUZZMnT8bll1+OTZs2mb6+f/9+fP3113jqqadw6NAhvPDCC5zRjGJG9rXDt+4h4PODaGw5C9hTgMHDIS19hEEydQtTLIiIqMtGjBgBp9MZ9vV9+/bh0ksvhRACw4cPR2NjI06ePNmLLaQ+7cP3gc8PAmfPALKs/P/zg8rzRN3AHmQiIuoxXq8XOTk52mOPxwOv14vs7OyQZcvLy1FeXg4AWLNmjeHvEoXVak3IdnVVsm9PQ+3XSs+xXstZpHm/hjOJtwtI/s9GLxm3hQEyERElhLKyMpSVlWmPE3HUeyKPxu+KZN8e2ZOvpFWcPRN40p6CZnc+ziTxdgHJ/9noJfK2sIoFERH1OrfbbTgx1tbWwu12x7FF1KeMKgYGD0ezDPhkACmpwODhyvNE3cAAmYiIekxpaSl27doFWZZx8OBBOBwO0/QKoq4QkgXS0kfwVKMVr7bYIP3rzzhAj2KCKRZERNRl69evxyeffIL6+nosWLAAc+bMQVtbGwBg+vTpGDt2LN5//30sXrwYdrsdCxcujHOLqa8RkgXvt0r4EDbceOG4eDeH+ggGyERE1GVLliyJ+LoQAnfeeWcvtYaIKDaYYkFEREREpMMAmYiIiIhIhwEyEREREZEOA2QiIiIiIp2kGKRXWVmJLVu2wOfzYdq0aZg1a5bh9dbWVmzcuBFHjhyBy+XCkiVLkJubq71eU1ODpUuX4oYbbsA111zT280nIiIioiSS8D3IPp8PmzdvxooVK7Bu3Trs3r0bx44dMyzzzjvvID09HRs2bMDMmTOxdetWw+svvvgixo4d25vNJiIiIqIklfAB8uHDh5Gfn4+8vDxYrVZMnDgRFRUVhmX27duHyZMnAwDGjx+Pjz76CLIsAwDeffdd5ObmYsCAAb3ddCIiIiJKQgmfYuH1euHxeLTHHo8Hhw4dCruMxWKBw+FAfX097HY73njjDaxcuRJ/+MMfwr5HeXk5ysvLAQBr1qxBTk5OD2xJ51mt1oRpS0eSpa3J0k4gedqaLO0EkqutREQUPwkfIHfHyy+/jJkzZyI1NTXicmVlZSgrK9Me19TU9HTTopKTk5MwbelIsrQ1WdoJJE9bk6WdQGK1taCgIN5NICKiMBI+QHa73aitrdUe19bWwu12my7j8XjQ3t6OpqYmuFwuHD58GH/729+wdetWNDY2QggBu92Oyy+/vLc3g4iIiIiSRMIHyEVFRaiqqkJ1dTXcbjf27NmDxYsXG5YpKSnBjh07MHz4cOzduxcjR46EEAK/+MUvtGVefvllpKamMjgmIiIioogSPkC2WCyYP38+Vq9eDZ/PhylTpqCwsBDbtm1DUVERSktLMXXqVGzcuBGLFi2C0+nEkiVL4t1sIiIiIkpSCR8gA0BxcTGKi4sNz82dO1f7t91ux7JlyyKuY86cOT3SNiIiIiLqWxK+zBsRERERUW9igExEREREpMMAmYiIiIhIJylykImIKDFVVlZiy5Yt8Pl8mDZtGmbNmmV4vaamBps2bUJjYyN8Ph9uvvnmkDElRESJhgEyERF1ic/nw+bNm/HAAw/A4/Fg+fLlKC0txYABA7RlXn31VUyYMAHTp0/HsWPH8NhjjzFAJqKExxQLIiLqksOHDyM/Px95eXmwWq2YOHEiKioqDMsIIdDU1AQAaGpqQnZ2djyaSkTUKexBJiKiLvF6vfB4PNpjj8eDQ4cOGZa54YYb8Mtf/hJvvfUWzp49i5UrV4ZdX3l5OcrLywEAa9asQU5OTs80vBusVmtCtqur+sr22Gw2CCH6xLao+spnAyTntjBAJiKiHrN7925MnjwZV199NQ4ePIgNGzZg7dq1kKTQG5hlZWUoKyvTHtfU1PRmU6OSk5OTkO3qqr6yPa2trbDZbH1iW1R95bMBEntbCgoKTJ9nigUREXWJ2+1GbW2t9ri2thZut9uwzDvvvIMJEyYAAIYPH47W1lbU19f3ajuJiDqLATIREXVJUVERqqqqUF1djba2NuzZswelpaWGZXJycvDRRx8BAI4dO4bW1lZkZGTEo7lERFFjigUREXWJxWLB/PnzsXr1avh8PkyZMgWFhYXYtm0bioqKUFpaittvvx3PPvss/vjHPwIAFi5cCCFEnFtORBQZA2QiIuqy4uLikLJtc+fO1f49YMAArFq1qrebRUTULUyxICIiIiLSYYBMRERERKTDAJmIiIiISIcBMhERERGRTsIP0qusrMSWLVvg8/kwbdo0zJo1y/B6a2srNm7ciCNHjsDlcmHJkiXIzc3FBx98gK1bt6KtrQ1WqxW33XYbLrjggjhtBREREREli4TuQfb5fNi8eTNWrFiBdevWYffu3Th27JhhmXfeeQfp6enYsGEDZs6cia1btwIAXC4X7r33XqxduxZ33303NmzYEI9NICIiIqIkk9AB8uHDh5Gfn4+8vDxYrVZMnDgRFRUVhmX27duHyZMnAwDGjx+Pjz76CLIsY/DgwdqMToWFhWhpaUFra2tvbwIRERERJZmETrHwer3weDzaY4/Hg0OHDoVdxmKxwOFwoL6+3jBT09/+9jcMGTIENpvN9H3Ky8tRXl4OAFizZg1ycnJivSldYrVaE6YtHUmWtiZLO4HkaWuytBNIrrYSEVH8JHSAHAtHjx7F1q1bcf/994ddpqysDGVlZdrjmpqa3mhah3JychKmLR1JlrYmSzuB5GlrsrQTSKy2FhQUxLsJREQURkKnWLjdbtTW1mqPa2trtbQJs2Xa29vR1NQEl8ulLf/EE0/g7rvvRn5+fu81nIiIiIiSVkIHyEVFRaiqqkJ1dTXa2tqwZ88elJaWGpYpKSnBjh07AAB79+7FyJEjIYRAY2Mj1qxZg5tvvhnnn39+HFpPRERERMkooVMsLBYL5s+fj9WrV8Pn82HKlCkoLCzEtm3bUFRUhNLSUkydOhUbN27EokWL4HQ6sWTJEgDAW2+9ha+//hqvvPIKXnnlFQDAAw88gMzMzHhuEhEREREluIQOkAGguLgYxcXFhufmzp2r/dtut2PZsmUhf3fdddfhuuuu6/H2EREREVHfktApFkREREREvY0BMhERERGRDgNkIiIiIiKdhM9BJiKixFVZWYktW7bA5/Nh2rRpmDVrVsgye/bswX/+539CCIFBgwbhxz/+cRxaSkQUPQbIRETUJT6fD5s3b8YDDzwAj8eD5cuXo7S0FAMGDNCWqaqqwvbt27Fq1So4nU7U1dXFscVERNFhigUREXXJ4cOHkZ+fj7y8PFitVkycOBEVFRWGZd5++23MmDEDTqcTAFhqk4iSAnuQiYioS7xeLzwej/bY4/Hg0KFDhmWOHz8OAFi5ciV8Ph9uuOEGjBkzplfbSUTUWQyQiYiox/h8PlRVVeGhhx6C1+vFQw89hCeeeALp6ekhy5aXl6O8vBwAsGbNGuTk5PR2cztktVoTsl1d1Ve2x2azQQjRJ7ZF1Vc+GyA5t4UBMhERdYnb7UZtba32uLa2Fm63O2SZYcOGwWq1Ijc3F+eccw6qqqowdOjQkPWVlZWhrKxMe1xTU9Nzje+inJychGxXV/WV7WltbYXNZusT26LqK58NkNjbUlBQYPo8c5CJiKhLioqKUFVVherqarS1tWHPnj0oLS01LPOd73wHH3/8MQDg9OnTqKqqQl5eXjyaS0QUNfYgExFRl1gsFsyfPx+rV6+Gz+fDlClTUFhYiG3btqGoqAilpaW48MILceDAASxduhSSJOHWW2+Fy+WKd9OJiCJigExERF1WXFyM4uJiw3Nz587V/i2EwLx58zBv3rzebhoRUZcxxYKIiIiISIcBMhERERGRDgNkIiIiIiIdBshERERERDpJMUivsrISW7Zsgc/nw7Rp0zBr1izD662trdi4cSOOHDkCl8uFJUuWIDc3FwDw+uuv45133oEkSfj+97/PGZyIiIiIKKKE70H2+XzYvHkzVqxYgXXr1mH37t04duyYYZl33nkH6enp2LBhA2bOnImtW7cCAI4dO4Y9e/bgySefxP3334/NmzfD5/PFYzOIiIiIKEkkfA/y4cOHkZ+frxWWnzhxIioqKjBgwABtmX379uGGG24AAIwfPx6/+c1vIMsyKioqMHHiRNhsNuTm5iI/Px+HDx/G8OHDI77n3a8e6rkN6gSb7Qu0trbGuxlRSZa2Jks7geRpa7K0E0istr6+yHz2JiIiir+ED5C9Xi88Ho/22OPx4NChQ2GXsVgscDgcqK+vh9frxbBhw7Tl3G43vF5vyHuUl5ejvLwcALBmzRrYbLae2JROE0IkTFs6kixtTZZ2AsnT1mRpJ5BcbSUiovhJ+AC5N5SVlaGsrEx7vP6ac+PXGJ1Enrs8WLK0NVnaCSRPW5OlnUBytZWIiOIn4XOQ3W43amtrtce1tbVwu91hl2lvb0dTUxNcLlfI33q93pC/JSIiIiLSS/gAuaioCFVVVaiurkZbWxv27NmD0tJSwzIlJSXYsWMHAGDv3r0YOXIkhBAoLS3Fnj170NraiurqalRVVWHo0KFx2AoiIiIiShYJn2JhsVgwf/58rF69Gj6fD1OmTEFhYSG2bduGoqIilJaWYurUqdi4cSMWLVoEp9OJJUuWAAAKCwsxYcIELFu2DJIk4Qc/+AEkKeGvCYiIiIgojhI+QAaA4uJiFBcXG56bO3eu9m+73Y5ly5aZ/u3s2bMxe/bsHm0fEREREfUd7E4lIiIiItJhgExEREREpMMAmYiIiIhIhwEyERF1WWVlJX784x9j0aJF2L59e9jl9u7dizlz5uCzzz7rxdYREXUNA2QiIuoSn8+HzZs3Y8WKFVi3bh12796NY8eOhSzX3NyMP//5z4aZTYmIEhkDZCIi6pLDhw8jPz8feXl5sFqtmDhxIioqKkKW27ZtG773ve9xmm8iShoMkImIqEu8Xi88Ho/22OPxwOv1GpY5cuQIampqQkp1EhElsqSog0xERMnH5/Phd7/7HRYuXBjV8uXl5SgvLwcArFmzBjk5OT3ZvC6xWq0J2a6u6ivbY7PZIIToE9ui6iufDZCc28IAmYiIusTtdqO2tlZ7XFtbC7fbrT0+c+YMjh49ikceeQQAcOrUKfzqV7/Cz3/+cxQVFYWsr6ysDGVlZdrjmpqaHmx91+Tk5CRku7qqr2xPa2srbDZbn9gWVV/5bIDE3paCggLT5xkgExFRlxQVFaGqqgrV1dVwu93Ys2cPFi9erL3ucDiwefNm7fHDDz+M2267zTQ4JiJKJAyQiYioSywWC+bPn4/Vq1fD5/NhypQpKCwsxLZt21BUVITS0tJ4N5GIqEsYIBMRUZcVFxeHDMCbO3eu6bIPP/xwL7SIiKj7WMWCiIiIiEiHATIRERERkQ4DZCIiIiIiHQbIREREREQ6CT1Ir6GhAevWrcOJEyfQr18/LF26FE6nM2S5HTt2BBMNMgAAIABJREFU4LXXXgMAzJ49G5MnT8bZs2fx5JNP4ptvvoEkSSgpKcEtt9zS25tAREREREkmoXuQt2/fjlGjRuGpp57CqFGjsH379pBlGhoa8Morr+DRRx/Fo48+ildeeQUNDQ0AgKuvvhrr16/Hr371K3z66afYv39/b28CERERESWZhA6QKyoqMGnSJADApEmTUFFREbJMZWUlRo8eDafTCafTidGjR6OyshIpKSm44IILAChTHA4ePNgw4xMRERERkZmETrGoq6tDdnY2ACArKwt1dXUhy3i9Xng8Hu2x2+2G1+s1LNPY2Ij33nsPV155pen7lJeXo7y8HACwZs2ahJkvPJnmLk+WtiZLO4HkaWuytBNIrrYSEVH8xD1AXrVqFU6dOhXy/I033mh4LISAEKLT629vb8e//du/4YorrkBeXp7pMmVlZSgrK9MeJ8p84Yk8d3mwZGlrsrQTSJ62Jks7gcRqa0FBQbybQEREYcQ9QF65cmXY1zL/P3v3HhdVnf8P/DXDgIAzgDPcRFlLLnkPBc00r1BrqcV6SXOzn1qbt1ixR2tYmpah6Kqkoq1rZnmpLEPbLVs3JCQlEitQolLEvoGiCAMIAgrM+f3BMjLOACNzOzO+no9Hj5wzZ868jo5v3n7mcz7H0xPl5eXo0qULysvL4eHhobePUqlEXl6e9rFarUafPn20j7dv3w5/f3+MHz/evMGJiIiIyCGJeg5yREQEjh07BgA4duwYBg8erLdPWFgYcnJyUF1djerqauTk5CAsLAwA8NFHH6GmpgazZs2yZmwiIiIismM2H0FuS3R0NBITE5Gamqpd5g0Azp8/j6+++grz5s2DXC7H5MmTsXTpUgDAlClTIJfLUVZWhuTkZHTr1g0vv/wyAGDcuHGIjIy02fkQERERkfiJukFWKBR47bXX9LYHBQUhKChI+3js2LEYO3aszj4qlQoff/yxxTMSERERkWMR9RQLIiIiIiJrY4NMRERERNQCG2QiIiIiohbYIBMRERERtSDqi/SIiEjcsrOzsWvXLmg0GkRGRiI6Olrn+c8//xxHjx6Fk5MTPDw8MH/+fPj4+NgoLRGRcTiCTEREHaLRaLBz50688sorSExMxIkTJ1BUVKSzzz333IOEhASsX78eQ4cOxd69e22UlojIeGyQiYioQ/Lz8+Hv7w8/Pz/IZDIMGzYMWVlZOvv069cPnTp1AgCEhIRArVbbIioR0R3hFAsiIuoQtVoNlUqlfaxSqXDu3LlW909NTdXe6dSQlJQUpKSkAAASEhLg7e1tvrBmIpPJRJmroxzlfJydnSGRSBziXJo5yp8NYJ/nwgaZiIgsLj09HQUFBVi5cmWr+0RFRSEqKkr7uLS01ArJ7oy3t7coc3WUo5xPfX09nJ2dHeJcmjnKnw0g7nMJCAgwuJ1TLIiIqEOUSiXKysq0j8vKyqBUKvX2O336NA4ePIglS5bA2dnZmhGJiDqEDTIREXVIUFAQiouLUVJSgoaGBmRkZCAiIkJnnwsXLmDHjh1YsmQJPD09bZSUiOjOcIoFERF1iJOTE+bMmYP4+HhoNBqMGTMGgYGB2L9/P4KCghAREYG9e/eirq4OGzduBND0VevLL79s4+RERG1jg0xERB02aNAgDBo0SGfbtGnTtL9evny5tSMREZmMUyyIiIiIiFpgg0xERERE1AIbZCIiIiKiFkQ9B7m6uhqJiYm4evUqfHx8sHjxYsjlcr390tLSkJycDACYNGkSRo8erfP82rVrUVJSgg0bNlgjNhERERHZMVGPIB86dAj9+/fH5s2b0b9/fxw6dEhvn+rqahw4cACrV6/G6tWrceDAAVRXV2uf/+677+Dq6mrN2ERERERkx0TdIGdlZWHUqFEAgFGjRiErK0tvn+zsbAwYMAByuRxyuRwDBgxAdnY2AKCurg6ff/45Jk+ebNXcRERERGS/RD3ForKyEl26dAEAeHl5obKyUm8ftVoNlUqlfaxUKqFWqwEAH330ESZOnAgXF5c23yclJQUpKSkAgISEBNHcL9ye7l1uL1ntJSdgP1ntJSdgX1mJiMh2bN4gr1q1ChUVFXrbp0+frvNYIpFAIpEYfdzffvsNV65cwaxZs1BSUtLmvlFRUYiKitI+Fsv9wsV87/Lb2UtWe8kJ2E9We8kJiCtrQECArSMQEVErbN4gt7WIvKenJ8rLy9GlSxeUl5fDw8NDbx+lUom8vDztY7VajT59+uDs2bMoKCjAwoUL0djYiMrKSqxcuRIrV660xGkQERERkYOweYPcloiICBw7dgzR0dE4duwYBg8erLdPWFgYPvzwQ+2FeTk5OZgxYwbkcjkeeeQRAEBJSQnWrl3L5piIiIiI2iXqBjk6OhqJiYlITU3VLvMGAOfPn8dXX32FefPmQS6XY/LkyVi6dCkAYMqUKQaXgiMiIiIiMoaoG2SFQoHXXntNb3tQUBCCgoK0j8eOHYuxY8e2ehxfX1+ugUxERERERhH1Mm9ERERERNbGBpmIiIiIqAU2yERERERELbBBJiIiIiJqQdQX6RERkbhlZ2dj165d0Gg0iIyMRHR0tM7z9fX1SEpKQkFBARQKBWJjY+Hr62ujtERExuEIMhERdYhGo8HOnTvxyiuvIDExESdOnEBRUZHOPqmpqejcuTO2bNmC8ePHY9++fTZKS0RkPI4gExFRh+Tn58Pf3x9+fn4AgGHDhiErKwvdu3fX7nPq1ClMnToVADB06FC8++67EAQBEomk3eMv/PScZYKbwNn5N9TX19s6htk4yvmUDngaEolElJ+ZjnKUPxtA3OdyMCbA4HY2yERE1CFqtRoqlUr7WKVS4dy5c63u4+TkBHd3d1RVVcHDw0PveCkpKUhJSQEAJCQkwNnZ2YLpO0YikYgyV0c5yvmEhYVBIpFAEARbRzEbR/mzAezzXNggExGRKERFRSEqKkr7+K3H77FdmFZ4e3ujtLTU1jHMxpHOx5HOBXCs87HHc+EcZCIi6hClUomysjLt47KyMiiVylb3aWxsRE1NDRQKhVVzEhHdKTbIRETUIUFBQSguLkZJSQkaGhqQkZGBiIgInX3Cw8ORlpYGAMjMzETfvn2Nmn9MRGRLnGJBREQd4uTkhDlz5iA+Ph4ajQZjxoxBYGAg9u/fj6CgIERERGDs2LFISkpCTEwM5HI5YmNjbR2biKhdbJCJiKjDBg0ahEGDBulsmzZtmvbXLi4uePHFF60di4jIJBLBkS75JCIiIiIyEecgi1hcXJytIxjNXrLaS07AfrLaS07AvrKSODnaZ8iRzseRzgVwrPOxx3Nhg0xERERE1AIbZCIiIiKiFpxWrly50tYhqHU9e/a0dQSj2UtWe8kJ2E9We8kJ2FdWEidH+ww50vk40rkAjnU+9nYuvEiPiIiIiKgFTrEgIiIiImqBDTIRERERUQu8UYgIZGdnY9euXdBoNIiMjER0dLTO8/X19UhKSkJBQQEUCgViY2Ph6+srupyff/45jh49CicnJ3h4eGD+/Pnw8fGxek5jsjbLzMzExo0bsWbNGgQFBVk5pXE5MzIy8Mknn0AikaBHjx5YtGiR1XMC7WctLS3F1q1bcf36dWg0GsyYMUPvBhLWsG3bNvzwww/w9PTEhg0b9J4XBAG7du3Cjz/+iE6dOmHBggV2NzeOLKu6uhqJiYm4evUqfHx8sHjxYsjlcr390tLSkJycDACYNGkSRo8erfP82rVrUVJSYvBzaC2mnMuNGzewceNGXLlyBVKpFOHh4fjzn/9s7VMAYNrPyYMHDyI1NRVSqRSzZ89GWFiYLU5Bq6Pncvr0aezbtw8NDQ2QyWSYOXMm+vXrZ6OzuMXUHqa0tBSLFy/G1KlT8fjjj1s7fusEsqnGxkbhhRdeEC5fvizU19cLL730klBYWKizz3/+8x9h+/btgiAIwvHjx4WNGzeKMueZM2eEuro6QRAE4ciRIzbJKQjGZRUEQaipqRFee+014ZVXXhHy8/NFmfPSpUvC3/72N6GqqkoQBEGoqKiwek5BMC7rP/7xD+HIkSOCIAhCYWGhsGDBAltEFX766Sfh/Pnzwosvvmjw+e+//16Ij48XNBqN8OuvvwpLly61ckISuz179ggHDx4UBEEQDh48KOzZs0dvn6qqKmHhwoVCVVWVzq+bZWZmCm+99Varn0NrMeVc6urqhDNnzgiCIAj19fXC8uXLhR9++MGq+QXBtJ+ThYWFwksvvSTcvHlTuHLlivDCCy8IjY2NVj+HZqacS0FBgVBWViYIgiD83//9n/D8889bN7wB5uhh1q9fL2zYsEH47LPPrJbbGJxiYWP5+fnw9/eHn58fZDIZhg0bhqysLJ19Tp06pR2ZGDp0KHJzcyFY+dpKY3L269cPnTp1AgCEhIRArVZbNWMzY7ICwP79+/HEE0/A2dnZBimNy3n06FH88Y9/1I74eHp62iKqUVklEglqamoAADU1NejSpYstoqJPnz4GR8ianTp1CiNHjoREIkFoaCiuX7+O8vJyKyYkscvKysKoUaMAAKNGjTJYP7KzszFgwADI5XLI5XIMGDAA2dnZAIC6ujp8/vnnmDx5slVzG2LKuXTq1Ek7QimTyXDvvfeirKzMqvkB035OZmVlYdiwYXB2doavry/8/f2Rn59v9XNoZsq53HvvvVAqlQCAwMBA3Lx5E/X19dY+BR2m9jAnT56Er68vunfvbu3o7WKDbGNqtRoqlUr7WKVS6TWWLfdxcnKCu7s7qqqqRJezpdTUVJt9jWVM1oKCApSWltpkCkAzY3JeunQJxcXFWL58OV599VXtD2BrMybr1KlT8c0332DevHlYs2YN5syZY+2YRlGr1fD29tY+bu+zTHefyspK7T/wvLy8UFlZqbfP7X8nlEql9nP00UcfYeLEiXBxcbFO4DaYei7Nrl+/ju+//x79+/e3bGADTPk5acy5WZO5fuZ/99136Nmzp80GeJqZcj51dXX47LPPMHXqVKtmNhbnIJPZpaeno6CgAGJdYluj0WD37t1YsGCBraO0S6PRoLi4GCtWrIBarcaKFSuwfv16dO7c2dbR9Jw4cQKjR4/GxIkTcfbsWWzZsgUbNmyAVMp/h5P4rFq1ChUVFXrbp0+frvNYIpFAIpEYfdzffvsNV65cwaxZs1BSUmJyTmNY6lyaNTY2YtOmTXj00Ufh5+fX4ZxkHoWFhdi3bx9effVVW0cxyccff4zx48fD1dXV1lEMYoNsY0qlUucrq7KyMu1XKLfvo1Kp0NjYiJqaGigUCtHlBIDTp0/j4MGDWLlypc3+Zdte1rq6OhQWFuL1118HAFRUVGDdunVYsmSJVS/UM/bPPiQkBDKZDL6+vujatSuKi4sRHBxstZzGZk1NTcUrr7wCAAgNDUV9fT2qqqpsNi2kNUqlEqWlpdrHrX2WybEtX7681ec8PT1RXl6OLl26oLy8HB4eHnr7KJVK5OXlaR+r1Wr06dMHZ8+eRUFBARYuXIjGxkZUVlZi5cqVFh0wsNS5NNu+fTv8/f0xfvx48wY3kik/J29/rVqttunfd1N/5peVlWH9+vVYuHAh/P39rZrdEFPOJz8/H9999x327duH69evQyKRwMXFBePGjbP2aRjEoR0bCwoKQnFxMUpKStDQ0ICMjAxERETo7BMeHo60tDQATasu9O3bt0OjAJbOeeHCBezYsQNLliyxaVPUXlZ3d3fs3LkTW7duxdatWxESEmL15tiYnAAwZMgQ/PTTTwCAa9euobi42CYjOMZk9fb2Rm5uLgCgqKgI9fX1Bn8Y21pERATS09MhCALOnj0Ld3d3m82XJnGKiIjAsWPHAADHjh3D4MGD9fYJCwtDTk4OqqurUV1djZycHISFheGRRx7B9u3bsXXrVrzxxhsICAiw6bdpppwL0DRdpKamBrNmzbJmbB2m/JyMiIhARkYG6uvrUVJSYpMBhpZMOZfr168jISEBM2bMQK9evWyQXp8p5/PGG29ofw4/9thj+NOf/iSa5hjgnfRE4YcffsD7778PjUaDMWPGYNKkSdi/fz+CgoIQERGBmzdvIikpCRcuXIBcLkdsbKxNmqT2cq5atQq///47vLy8ADQ1TC+//LLVcxqTtaWVK1di5syZNlnmrb2cgiBg9+7dyM7OhlQqxaRJkzB8+HCr5zQma1FREbZv3466ujoAwNNPP43777/f6jnfeust5OXlaUevn3zySTQ0NAAAHnnkEQiCgJ07dyInJwcuLi5YsGCBTf7sSbyqqqqQmJiI0tJSnaXRzp8/j6+++grz5s0D0PStycGDBwE0LY02ZswYneOUlJRg7dq1Nl3mzZRzKSsrw/z589GtWzfIZE1fOI8bNw6RkZFWPw9Tfk4mJyfj66+/hlQqxaxZszBw4ECr5zfHuXz66ac4dOiQzsjxsmXLbP4tnTl6mI8//hiurq6iWuaNDTIRERERUQucYkFERERE1AIbZCIiIiKiFtggExERERG1wAaZiIiIiKgFNshERERERC2wQSYiIiIiaoENMhERERFRC2yQiYiIiIhaYINMRERERNQCG2QiIiIiohbYIBMRERERtcAGmYiIiIioBTbIRFZyzz334M0337R1DCIi6oC0tDRIJBIUFRXZOgpZARtkcmhXrlxBTEwM7rnnHri4uMDHxweTJ09Gdna23r719fVYt24dBgwYADc3N3h4eGDkyJFITk5u931WrlwJiUQCiUQCqVSKbt264amnnsL//d//dTh7UVERJBIJ0tLSOnwMIiJrmTVrlrYOymQy9OjRA/PmzUNZWZl2n+bnJRIJOnfujPvvvx87d+5s99iFhYV44YUXEBwcDFdXV/j4+GDIkCFYu3YtSktLLXladJdig0wOq7CwEBEREcjIyMDbb7+N/Px8fPHFF3BxccHQoUPxn//8R7tvfX09Hn30UWzYsAGxsbHIy8tDZmYmIiMjMW3aNKxcubLd97vnnntQXFyMoqIi7N69G6dOncLEiRPR2NhowbMkIhKPESNGoLi4GL/99hs2b96MTz/9FM8884zOPklJSSguLkZ2djYeffRRPPfcc/jkk09aPWZ2djbCwsKQkZGBhIQE/Pjjjzh58iTeeOMN5OTk4N133231tTdv3jTbudFdRiByUBMnThT8/PyEyspKveceffRRwc/PT6ipqREEQRA2bNggABAyMzP19k1ISBAACKdOnWr1vVasWCEEBQXpbNu7d68AQPjll18EQRCEHj16CKtWrdI+f+3aNeH5558XvL29BRcXFyE8PFw4cuSI9nkAOv/16NHjjs6fiMia/t//+39CZGSkzrY333xTkEql2loLQNizZ4/OPsHBwcL06dMNHlOj0Qj9+/cXBgwYINTX17e6T7MePXoIr776qjB//nxBqVQKQ4YMEQRBEN566y3h/vvvFzp37iz4+fkJ06ZNEy5duqR93ddffy0AEP71r38JgwcPFjp16iT07dtXOHr0qN4+//3vf4URI0YIbm5uQu/evYXDhw/fwe8S2QuOIJNDKi8vxxdffIEXXngBHh4ees8vXboUV65cwVdffQUA2LNnDyIjI/HAAw/o7bto0SK4u7tj3759d5TBzc0NQNPotCFz5szBkSNHsHfvXmRnZ2P48OGYMGECfvnlFwDADz/8AAD49NNPUVxcjKysrDt6fyIiW3Nzc4NGo0FDQ0Ob+7RWJ3NycnDmzBm8/PLLkMlkBveRSCQ6jzdv3gxfX198++232LVrl3b7+vXrcebMGRw8eBC///47pk+frnesF198Ea+99hp+/PFHPPDAA5g4cSKKi4t19nnppZfwyiuvICcnBw888ACmTZuG8vLyVs+P7BMbZHJI586dg0ajQd++fQ0+37z9119/1f6/tX1dXV0RFBSk3dcYv//+O9auXYvAwEDcd999es/n5+fjwIED2LZtG/74xz+id+/e2LRpE/r164d169YBAHx8fAAASqUS/v7+2sdERPYgLy8PW7duxQMPPACFQqH3fENDA9555x2cOXMGUVFRBo9x9uxZAEDv3r11tnfv3h1yuRxyuRyPPvqoznODBw/GypUrERoaij59+gBoGuiIiorCvffeiwcffBBbt25Feno6Ll68qPPauLg4TJgwAb1798b27dvh7e2Nbdu26eyzYsUKjBs3DiEhIUhISEBVVRVOnjx5Z785JHpskOmu5uzsbLZ9CwoKIJfL4e7ujh49ekAQBBw8eNDg6/Ly8gAAI0eO1Nk+cuRI/PTTT0ZnIiISk7S0NMjlcri5uaFfv37o2bMnPvjgA519nnvuOcjlcri6umLx4sWIi4vD3Llz2zyuIAg6j7/55htkZ2fjscceQ21trc5zQ4YMMZjrj3/8IwIDA6FQKPDQQw8BgN6F1A8++KD21zKZDEOGDNGryWFhYdpf+/n5wcnJCVeuXGkzP9kfw99XENm5kJAQSKVS5Obm4k9/+pPe880FLzQ0FABw3333ITc31+Cx6urqcP78eYwbN67N9wwMDMTRo0chlUrRtWtX7RQLIqK7xQMPPID3338fMpkMAQEBcHFx0dsnPj4eTzzxBORyOfz8/PSmSLTUXKN//vlnDBo0SLv93nvvBQB4eHigpKRE5zWdO3fWefz777/jsccew8yZM/Haa6/B29sbRUVFiIqK6tBFfIbOSaPR3PFxSNw4gkwOqUuXLhg/fjySkpJw7do1vefXrFmDgIAAPPzwwwCAmTNnIjU1Fd99953evps2bUJtba3eldi3c3Z2RnBwMHr27Nluc9w8nSM9PV1ne3p6Ovr16wfgVhHmKhhEZC/c3NwQHBysXVrTED8/PwQHB8Pf37/N5hgA7r//fvTr1w8JCQmtzlNuT1ZWFmpra/HWW29h+PDhuO+++1od8c3MzNT+uqGhASdPntRO06C7Cxtkclhbt26Fs7Mzxo4di//85z8oLCxEVlYWZsyYgdTUVHzwwQfa6Q8xMTGIjIzE448/jl27duHChQv4+eef8frrr2PZsmVYs2aNtnE1h6CgIEydOhULFizAkSNH8Msvv2DRokXIzc3F3/72NwCAt7c35HI5/vvf/+Ly5cu8CISI7joSiQTvv/8+ioqKMGTIEBw4cAA///wzzp07h08//RTHjx+Hk5NTm8cICQmBRCLBhg0bcOHCBRw6dAhvvPGGwX0TEhJw+PBh/Pzzz5g/fz6uXr2KBQsWWOLUSOQ4xYIcVmBgIL7//nusWrUKc+fOxcWLF9HY2IiAgACcOXMGISEh2n2dnZ1x+PBhJCYmYuPGjZg/fz5u3LgBqVSKQ4cOYeLEiWbP98477+Bvf/sbnn76aVy7dg39+/fH559/jl69egEApFIptm7dihUrVmDDhg3o3r07fvvtN7PnICISs0GDBiEnJwcJCQl4+eWXUVRUBJlMhtDQUEydOhUxMTFtvn7AgAHYsmULEhISEB8fj/DwcLz11lt6F/cBTStdLF++HLm5uQgKCsJnn32GgIAAS50aiZhEuH3mO5ED++KLLzBlyhS89NJLWLVqVZv7FhQUYOzYsQgNDcVnn33GOcVERA4qLS0NY8aMQWFhIbp3727rOCQCnGJBd5Xx48fjv//9L5ycnFBQUNDmvj179sQ333yD4cOH49tvv7VSQiIiIrI1jiATERHRXY0jyHQ7NshERERERC1wigURERERUQtskImIiIiIWuAybwZcunRJb5u3tzdKS0ttkMZ0zG4bzG4b9pKdS0e1z1AtNgcxf0bEnA1gPlOJOZ+YswGWy9daLeYIMhERERFRC6IZQc7OzsauXbug0WgQGRmJ6Ohonefr6+uRlJSEgoICKBQKxMbGwtfXF1VVVdi4cSPy8/MxevRoPPvss9rXFBQUYOvWrbh58yYGDhyI2bNnt3tbSyIic0lOdkNCggKXLjkhIKARcXFVmDSp1tax2sRaTET2xhK1VhQjyBqNBjt37sQrr7yCxMREnDhxAkVFRTr7pKamonPnztiyZQvGjx+Pffv2AWi6A9q0adMwc+ZMvePu2LEDc+fOxebNm3H58mVkZ2db5XyIiJKT3bBkiScuXpRBECS4eFGGJUs8kZws3hvOsBYTkb2xVK0VRYOcn58Pf39/+Pn5QSaTYdiwYcjKytLZ59SpUxg9ejQAYOjQocjNzYUgCHB1dUWvXr3g4uKis395eTlqa2sRGhoKiUSCkSNH6h2TiMhSEhIUqK3VLbG1tVIkJChslKh9rMVEZG8sVWtFMcVCrVZDpVJpH6tUKpw7d67VfZycnODu7o6qqip4eHgYfUy1Wm1w35SUFKSkpAAAEhIS4O3trbePTCYzuN0eMLttMLttiCX7pUtOrW4XQz5D7KEWm4NYPiOGiDkbwHymEnM+MWcDWs9nqVorigbZ1qKiohAVFaV9bOgqSbFf3dkWZrcNZrcNsWQPCPDFxYv6JTYgoBGlpaVcxcIAY2qxOYjlM2KImLMBzGcqMecTczag9Xzt1dr2iHoVC6VSibKyMu3jsrIyKJXKVvdpbGxETU0NFIrWh8+NOSYRkaXExVXBzU2js83NTYO4uCobJWofazER2RtL1VpRNMhBQUEoLi5GSUkJGhoakJGRgYiICJ19wsPDkZaWBgDIzMxE375927wKukuXLnBzc8PZs2chCALS09P1jklEZCmTJtVi3bpKdOvWAIlEQLduDVi3rlLUq1iwFhORvbFUrRXFFAsnJyfMmTMH8fHx0Gg0GDNmDAIDA7F//34EBQUhIiICY8eORVJSEmJiYiCXyxEbG6t9/cKFC1FTU4OGhgZkZWVh2bJl6N69O5577jls27YNN2/eRFhYGAYOHGjDsySiu82kSbWibohvx1pMRPbIErVWIgiCYNYjOgDeSU88mN02mN3yOAe5fbyTnvgwn2nEnE/M2QDeSY+IiIiIyKbYIBMRERERtcAGmYiIiIioBTbIREREREQtsEEmIiJePXGHAAAgAElEQVQiImqBDTIRERERUQtGNci5ubkoKSkBAJSXlyMpKQnbtm1DRUWFRcMREYldcrIbhgzxRffuXTFkiC+Sk91sHYmIyOF8+KHUqrXWqAZ5586dkEqbdt29ezcaGxshkUiwfft2i4YjIhKz5GQ3LFniiYsXZRAECS5elGHJEk82yUREZpSc7IYFC5ysWmuNapDVajW8vb3R2NiInJwczJ07F3/5y19w9uxZiwUjIhK7hAQFamt1y2htrRQJCQobJSIicjwJCQrU1Oje0t7StdaoBtnNzQ0VFRXIy8tD9+7d4erqCgBoaGiwWDAiIjFqOaXi4kUng/tcumR4OxERGcfWtVZmzE7jxo3D0qVL0dDQgFmzZgEAfvnlF3Tr1s1iwYiIxCA52Q0JCQpcuuQET08Nrl+Xor5e0uZrAgIarZSOiMgxiK3WGtUgR0dHY8iQIZBKpfD39wcAKJVKzJs3z2LBiIhsrXmOcfM0ioqK9kcr3Nw0iIursnQ0IiKHIcZaa/Qyb76+vigvL0dGRgaApgbZ19fXYsGIiGzN0BxjwwRIJAK6dWvAunWVmDSp1uLZAODmzZuor6+3ynsREVmKGGutUSPIv//+O9auXQtnZ2eUlZVh2LBhyMvLw7Fjx7B48WKLhSMisoXmr/pam/d2u27dGnHyZImFUzWtIjRs2DAEBwfjhx9+wIYNGyCRSBAbG4uIiAiLvz8RkTmJtdYCRjbIO3bswLRp0zBy5EjMnj0bANCnTx8u80ZEDqNloZZIAEFoe+5bM2tOqTh+/DimTZsGADhw4ABiYmLg7u6O999/nw0yEdmFjtZad3fBqtPXjGqQi4qKMGLECJ1trq6uuHnzpkVCERGZW8ui7OQENDZC+/+mIg0ATYW66deGOTtrIJcLqKiQIiCgEXFxVVabUnHjxg106tQJVVVVuHLlCoYOHQoAKC0ttcr7ExEZIznZDcuXe6CiomnahFQKaDSm1dr4eODhh61TawEjG2QfHx8UFBQgKChIuy0/P197wR4RkVjpFuqmotz4vwufm//fVpG+RUC3btZtiG8XEBCAb775BpcvX8aAAQMAANeuXYOLi4tN8hARtWSo3gJNzTFgWq319vaGNccCjGqQp02bhoSEBDz88MNoaGjAwYMH8dVXX2Hu3LmWzkdE1GG3XxltCmvOfWvNs88+i/feew9OTk6YP38+ACAnJ0fbLBMR2Yq56q0Yai1gZIMcHh6OV155BUePHkWfPn1w9epVvPTSS+jZs6fZgmRnZ2PXrl3QaDSIjIxEdHS0zvP19fVISkpCQUEBFAoFYmNjtatoHDx4EKmpqZBKpZg9ezbCwsIAAAsXLoSrqyukUimcnJyQkJBgtrxEJH6vveZhluZYLEu3BQcH480339TZNmLECL0pcKZgLSaijjBHvRVLrQWMbJAB4N5778Vzzz1nkRAajQY7d+7EsmXLoFKpsHTpUkRERKB79+7afVJTU9G5c2ds2bIFJ06cwL59+7B48WIUFRUhIyMDGzduRHl5OVatWoVNmzZBKm36Q1qxYgU8PDwskpuIxEP3q72uJh9PIhEgCLD5tIrbnT59GidOnEBlZSXi4uJw/vx51NbWol+/fiYfm7WYiIxx+xxjU4i11rbaIO/fv9+oAzRfUW2K5vnMfn5+AIBhw4YhKytLpyifOnUKU6dOBQAMHToU7777LgRBQFZWFoYNGwZnZ2f4+vrC398f+fn5CA0NNTkXEYmX4QJt3NXQbRPQpYsGb7xxTTSFutmXX36Jw4cPIzIyEpmZmQAAFxcX7Nq1S29kuSNYi4moNfo119R6K95aC7TRIJeVlVkthFqthkql0j5WqVQ4d+5cq/s4OTnB3d0dVVVVUKvVCAkJ0e6nVCqhVqu1j+Pj4wEADz/8MKKiogy+f0pKClJSUgAACQkJ8Pb21ttHJpMZ3G4PmN02mN1yYmKc8M9/6l4EYjxBe0X17atZ/OEPwBtvNOKppzQAOv/vP/E4fPgwli9fDl9fX3z22WcAgG7duuHSpUtmOb491GJzEPPnW8zZAOYzlZjztZWt4zW36aq822tuR2qttX/vWm2QFyxYYLUQlrJq1SoolUpUVlbizTffREBAAPr06aO3X1RUlE7BNrRkUtPVk/a5lBKz2wazm0frX+V1bPTCy0uDn3660uY+1jj1gICAO35NbW2t3g+IhoYGyGRGz5azCXPWYnMQ0+f7dmLOBjCfqcScrznbrYvtbq+xd15z26u3d/JbYanfu9ZqcatVtaSkRHvhxZUrrZ9c81dxplAqlToj1mVlZVAqlQb3UalUaGxsRE1NDRQKhd5r1Wq19rXN//f09MTgwYORn59vsCgTkTiYszAb4uamwapV18xyLFvo3bs3Dh06hEmTJmm3ffnll+jbt69Zjs9aTHR30a+5zddvmF5z7b3ettogv/TSS9i9ezcA4K9//WurBzB2rnJbgoKCUFxcjJKSEiiVSmRkZOi9Z3h4ONLS0hAaGorMzEz07dsXEokEERER2Lx5MyZMmIDy8nIUFxcjODgYdXV1EAQBbm5uqKurw+nTpzFlyhSTsxKReSxd6oHduw19rWaeZliXuOe6GWvOnDlYu3Ytjh49irq6OixatAhubm6Ii4szy/FZi4kcl6UHIG5xjHrbaoPc3BwD5mmC2+Lk5IQ5c+YgPj4eGo0GY8aMQWBgIPbv34+goCBERERg7NixSEpKQkxMDORyOWJjYwEAgYGBePDBB/Hiiy9CKpXi2WefhVQqRWVlJdavXw8AaGxsxEMPPaRdcoiIbEe3MbZEMww0z3sD4BCFulmXLl2wZs0a5Ofno7S0FCqVCsHBwdqVIkzFWkzkeJKT3fDii56or5fAUgMQzRyp3koEof37mrz77ruYM2eO3vb33nsPs2bNskQumzJ0wYuY5w21h9ltg9mtO2LRfAvTP/wB+NvfKkRfoDsyB/luY66LD28n5r+bYs4GMJ+prJHPcN01f80FrNsQi2YOckvHjh0z2CCnp6c7ZINMRKax/IhFSwIeeugG9u9vWjGhqYiKuznuqOa75xny9ttvWzEJEYmN9equgGeeuY41a+x3frEx2myQU1NTATR9Ldb862YlJSVQKBSWS0ZEdmnMGG+cPesMS3+VBzQtHfT0045fqJvFxMToPC4vL8fhw4cxfPhwGyUiIjGYNk2J48c7wVIjxc0caQpFe9pskL/55hsATcsINf+6maenJxYuXGi5ZERkN24V52bmuWFHS3dbM2yIoZUf+vbti/j4eDz22GM2SEREtqJ/obN5627nzgISEirvimbYkDYb5BUrVgAAPvroI0yfPt0qgYhIvFpfeQIwrTjrNsMSCTBz5t3dDBtLJpOhpKTE1jGIyIIss+qPbt1VqYCVK8V//Ya1GDUHubk5rqysRF1dnc5z5lgHmYjEyXBRNudXeE0F+m6Yz2YOt68odOPGDfz4448YOHCgjRIRkSUkJ7th0SJPaDSWuNBOQKdOAtav1x0dduTrNzrCqAY5Ozsbb7/9NioqKvSes/QScERkHfoF2XwLxt9ya8SCo8R3ruWNOACgU6dOmDBhAkaOHGmjRERkDvrT1ABzNsTNDDXGZJhRDfLOnTsxefJkjB49Gi4uLpbORERWZM11iTlSbJoFCxbYOgIRmZFuY2yZC+xYdzvGqAa5uroaDz/8MCQSSy/XRESWdmuViZYs1xhLpcCmTZzX1lG5ublG7devXz8LJyEiU4WFyfDzz11v22qZFX9aLn9Jd86oBnns2LH4+uuvMXbsWEvnISIzMTyHrZll18hsxpEL0xmzvrFEIkFSUpIV0hCRsQxPmwAs/U3d3b76hLkY1SCfO3cOX375JT777DN4eXnpPPf6669bJBgR3Tn90WHL36Tjdhy1MK+tW7faOgIRGSk83BeXLzu12GLZZrgZ5xabn9EjyBw9JhIPw9MkmllndBjgCDER3Z0st+Rla1h7rc2oBnn06NEWjkFEhrT+FR1g7dFhmQxITORcYluqqanBJ598gry8PFRVVUEQbv0Z8VbTRJahPyrcjIMRjsyoBhkAKioqkJ+fr1eUObJMZLrWCzBg+Ub4dk1/vzlVQnzeeecdqNVqTJkyBVu2bEFMTAz+9a9/4YEHHrB1NCK7Z7tv5lriyhNiYVSDfPLkSWzZsgVdu3ZFYWEhAgMDUVhYiF69erFBJuoAy9+Aw1j6c4ifeeY6duxwQWkpm2OxOX36NBITE6FQKCCVSjF48GAEBQVh7dq1mDBhgq3jEdkd680Zbs2tGswVf8TFqAZ5//79WLBgAR588EHMnj0b69atw9dff43CwkJL5yNyCEFB/qiru73w2q4QN/P3b8T33xu6TbG35ePQHRMEAe7u7gAAV1dX1NTUwMvLC5cvX7ZxMiL7YNtarFuD2RCLm1ENcmlpKR588EGdbaNGjcLzzz+PZ555xiLBiOyVbgFuud6lbUeIQ0Pr8fXXpTbIQObSo0cP5OXloX///ujVqxfeeecduLq6omvX29dVJSLbzB2+ne6yl03fzrEO2wOjGmQPDw9UVFTAy8sLPj4+OHv2LBQKBTQajaXzEYla795+uHZNauAZ248Oc3TC8cydO1d7Dcjs2bPx4Ycf4vr163jhhRdsnIzItpKT3RAT44mm2muLgQljazC/nbMXRjXIkZGR+OWXXzB06FCMHz8er7/+OiQSiVnnvGVnZ2PXrl3QaDSIjIxEdHS0zvP19fVISkpCQUEBFAoFYmNj4evrCwA4ePAgUlNTIZVKMXv2bISFhRl1TKI70fqyPrYZjdC+uwTYvJmNsCMrKipC9+7d4efnp93m6emJefPmmf29WIvJHtj2Og79Osxv6ByPUQ1yy2I2atQo9O3bF3V1dejevbtZQmg0GuzcuRPLli2DSqXC0qVLERERoXP81NRUdO7cGVu2bMGJEyewb98+LF68GEVFRcjIyMDGjRtRXl6OVatWYdOmTQDQ7jGJ2iK2AgxwZYm71ZIlS9CjRw+MGjUKw4cPh0KhsMj7sBaTmOl/Y2f9GyEBXGHibmH0Mm8teXub9yuC/Px8+Pv7a0dHhg0bhqysLJ0CeurUKUydOhUAMHToULz77rsQBAFZWVkYNmwYnJ2d4evrC39/f+Tn5wNAu8ckasnwfDXrN8QcEabbbd++HSdOnEB6ejr27NmDsLAwjBo1CuHh4XByam15wDvHWkxioTtloiXrNcUckLi7GdUgz58/v9XnzLE4vVqthkql0j5WqVQ4d+5cq/s4OTnB3d0dVVVVUKvVCAkJ0e6nVCqhVqu1x2nrmM1SUlKQkpICAEhISDD4DwCZTGb2fxhYC7Pr8vOToaKitSJrjYZYf1QiIEDAhQsNLbZ0/t9/tsHPjLgoFAqMGzcO48aNw6VLl5Ceno73338f27dvx/DhwzFy5EgEBweb/D72UIvNQcyfETFnAyyTLyxMhp9/NlR7rT9C/PzzGmzZ0vi/R1KYe86wmP98xZwNsH4+oxrkmJgYncfl5eU4fPgwhg8fbpFQ1hYVFYWoqCjtY0NXmHp7e9vtlad3a/bWRyDQyjZL0C/AHh4a/PzzFb3tYvojuls/M9YUEBDQ4ddNnz4d06dPx+nTp7F9+3YcOXIE+/fvN3NC6zOmFpuDmD8jYs4GmJ6v9buDWn9wwha1WMx/vmLOBlguX2u12KgGuU+fPnrb+vbti/j4eDz22GOmJUPTSENZWZn2cVlZGZRKpcF9VCoVGhsbUVNTA4VCofdatVqtfW17xyTHo198bXsBXWsFmMgUZ8+eRXp6Or799lu4u7tjypQpZjkuazFZgv4d6mzzTR3nDtOd6NAcZKBpqLukxNANBu5cUFAQiouLUVJSAqVSiYyMDPz1r3/V2Sc8PBxpaWkIDQ1FZmYm+vbtC4lEgoiICGzevBkTJkxAeXk5iouLERwcDEEQ2j0m2b/kZDcsWuQJjaZlwbXN6LCrq4Dz52/dsEHs/xon+3L16lWkp6cjPT0dlZWVGDp0KF566SX07t3bbO/BWkzmYv071Bk3OkxkLKPvpNfSjRs38OOPP2LgwIFmCeHk5IQ5c+YgPj4eGo0GY8aMQWBgIPbv34+goCBERERg7NixSEpKQkxMDORyOWJjYwEAgYGBePDBB/Hiiy9CKpXi2WefhVTadJWroWOS/bLtV3PA7QWYy/qQtaxYsQJnz55Fv379MHXqVAwZMgQuLi5mfx/WYuoI292Q41ZNbr4rKAcmyFwkQvOq823Ytm2bzuNOnTrhnnvuwciRI+Hs7NzKq+zXpUuX9LbZ8186e8tueFS4me2mTNxpQ2xvv+8tMbvl3ckc5EOHDmHkyJF33dQEQ7XYHMT8GRFztuRkN8TGeqGx0dCz1r+gbssW/dV+xPz7B4g7n5izASKdg7xgwQKzhiFqKTnZDS++6In6ettPk2jGu9CRmPDGGmQrtrmug9dzkO212yBrNBocP34cOTk5uHbtGhQKBfr164eHHnrIIl/x0d1D90YcLLpERGKh2xhbsj7zYjoSpzYb5JqaGsTHx+PKlSsYOHAg7r33XpSXl+PDDz/EF198geXLl6OxsRG//vorhg0bZq3MZKdsc2e6W8WXc4aJiAyzbn3mzThI/NpskD/44API5XIsX74crq6u2u11dXVITEzEpk2bcOXKFTz11FMWD0r2yfpfz+mORnAkgojIMOvW51u1mXWZ7EGbDXJWVhbi4+N1mmMAcHV1xbPPPouYmBjMnz8fI0aMsGhIsi/WK7r6X81xlJgcTW5urlH79evXz8JJyBHojxSbuz7r12Ve00H2qN0pFq1dNa1SqSCTyTB69GhL5CI7YfhrOcC8RZcFl+5eb7/9ts5jtVoNiUQChUKBqqoqCIIAlUqFpKQkGyUkMbPs1An92ty83BqRvWuzQfbz80Nubi4GDBig99yZM2fg7+9vsWAkXtYegeAcNbqbbd26Vfvr5ORkVFdXY9q0aejUqRNu3LiB/fv3Q6FQ2DAhiY1lv8Xj/GG6O0jbenLChAlISkpCZmYmNBoNgKZVLTIzM7Ft2zZMmDDBKiHJ9pYu9UC3bl3RrVvX/zXHkhb/mYsAQMBDD93AxYvFuHixGDdu1LMAE/3PF198gRkzZqBTp6bmp1OnTpgxYwY+//xzGycjW0tOdkNwsD+6dev6v+bYnDW6qTbLZALee69RW59Zm8mRtTmCPHr0aFRVVWHbtm3YtGkTPDw8cO3aNTg7O2PKlCkYM2aMtXKSlS1d6oE9ezpD9zYylh0p5oUbRG1zdXVFfn4+evXqpd12/vx5bcNMd4/kZDcsWeKJ2lpLrR9veAWgpps1mPFtiESq3XWQJ06ciKioKPz666+oqqqCQqFAaGgo3N3drZGPrEi/4FquIe7UScD69ZWcQ0x0B6ZNm4bVq1cjPDwcKpUKZWVl+OGHH/Dss8/aOhpZieXWj2d9JmrJqDvpubm5ISwszNJZyMqSk92wfLkHKipazrSxXFPMEWIi04wcORI9e/ZEZmYmysvL0a1bN0yePBndu3e3dTSyEMvX6aYazfnERLqMapDJcegXW8uuNsGmmMi8unfvjkmTJqGyshJdunSxdRyyAMvVad0a3bmzgIQEjhQTGcIG2cElJ7thxQpnqNVdW2y1TFPMZpjIsq5fv4533nkHmZmZkMlk2LNnD06dOoX8/HxMnz7d1vGog/QbYi+YuymWSICZM1mjiYzV5ioWZL+Sk93Qt68fYmK8oFa3vJrZfFc0d+6swZYtFdormll4iSxrx44dcHd3x7Zt2yCTNY1vhIaGIiMjw8bJqKOWLvVATIwXKiqcYIk6/cwz13HxYjGKilijie6E0SPIVVVV+PHHH1FeXo4nnngCarVau0A9iYfuhXbm/1qOoxBEtnPmzBls375d2xwDgIeHByorK22YijrC/LX6Vp3m1Aki0xnVIOfl5WHDhg3o2bMnfv31VzzxxBO4fPky/vWvfyEuLs7SGclIt65uNl+xZaElEg93d3dUVVXpzD0uLS3lXGQ7Y75a3VSnu3TR4I03rrFOE5mRUQ3ye++9h9jYWPTv3x+zZ88GAAQHB+P8+fMWDUetS052Q0KCAhcvOkEiQYv1ijtacG+NPkilwNNPc5SYSGwiIyOxYcMGTJ8+HYIg4OzZs/jwww/x8MMP2zoatcK8tZqjxETWYlSDfPXqVfTv31/3hTIZGhsbTQ5QXV2NxMREXL16FT4+Pli8eDHkcrnefmlpaUhOTgYATJo0CaNHjwYAFBQUYOvWrbh58yYGDhyI2bNnQyKR4OOPP8bRo0fh4eEBAHjqqacwaNAgk/Pamu7FHE0FVtBfPMJITS9kQ0xkH5544gm4uLhg586daGxsxNtvv42oqCg89thjJh+btdj8bt1wyZRazTpNZAtGNcjdu3dHdna2zlrIZ86cwR/+8AeTAxw6dAj9+/dHdHQ0Dh06hEOHDuHpp5/W2ae6uhoHDhxAQkICACAuLg4RERGQy+XYsWMH5s6di5CQEKxZswbZ2dkYOHAgAGD8+PF4/PHHTc5oCy1HHZycgMZGtBh9MG3kAeBXckT2RqPRIC0tDQ8//LBZGuLbsRZ3nHnr9a1azTpNZDtGrWIxc+ZMbNmyBUlJSbh58yb++c9/Ytu2bXrFsyOysrIwatQoAMCoUaOQlZWlt092djYGDBgAuVwOuVyOAQMGIDs7G+Xl5aitrUVoaCgkEglGjhxp8PX2pvnijYsXZQAkaGxsuoijaRSiY81x85XMzf/l5l5h0SWyI1KpFLt374azs7NFjs9a3DHmrdcCnn9ewzpNJAJGjSCHhobi73//O7755hu4urrC29sbq1evNssKFi0Xu/fy8jJ4NbZardZ5L6VSCbVarbddpVJBrb51J6AjR44gPT0dPXv2xDPPPGPw60IASElJQUpKCgAgISEB3t7eevvIZDKD2y3h7393bnG7Z1MIkMuBt98W8OSTLgCsk9+crPn7bm7Mbhv2nL094eHhOHXqFCIiIsx+bHupxeZgzs+Ieep1U61OSmrEzJlSNDSI9/Mr9r9fzNdxYs4GWD+f0cu8KZVKPPHEEx16k1WrVqGiokJv++0L20skEkgk5lma7JFHHsGUKVMAAPv378fu3buxYMECg/tGRUUhKipK+7i0tFRvH29vb4PbLaGwsGv7O7VJ0PlqzprZzY3ZbYPZLS8gIOCOX1NfX4+NGzciNDQUKpVKp16+8MIL7b7eEWqxOZjzM2JavRb0plE0NIj78yv2v1/M13FizgZYLl9rtbjVBnnLli1GFUhjivLy5ctbfc7T0xPl5eXo0qULysvLtRdytKRUKpGXl6d9rFar0adPHyiVSpSVlWm3l5WVQalUAmgaAWkWGRmJtWvXtpvT1prnsd3ZhRycW0x0twgMDERgYGCHX89abD6m1mvWaiJxa7VB9vf3t0qAiIgIHDt2DNHR0Th27BgGDx6st09YWBg+/PBDVFdXAwBycnIwY8YMyOVyuLm54ezZswgJCUF6ejrGjRsHANpCDwAnT5406YeKJekvAWTsqI3+yAMRObapU6da7Nh3ey02Bus10d2j1QbZkoW4pejoaCQmJiI1NVW7tBAAnD9/Hl999RXmzZsHuVyOyZMnY+nSpQCAKVOmaOewPffcc9i2bRtu3ryJsLAw7VXTe/fuxW+//QaJRAIfHx88//zzVjmfO3HrTkpN10oaHokQtFdFN/+/W7dGxMVVsdAS3YVOnz6NEydOoLKyEnFxcTh//jxqa2vRr18/k457N9diY7BeE91dJIJg3BdEubm5OH78uHY0YPjw4XprIzuKS5cu6W2zxNyXIUN8/3flc+skEgFFRcUmvY/Y5xW1hdltg9ktryNzkL/88kscPnwYkZGROHjwIN5//30UFhZi+/btePPNNy2Q0rYM1WJz6MhnhPW6CfOZRsz5xJwNsP4cZKOWefv3v/+Nt956C3K5HIMGDYJCocDmzZvx73//26wh7zaXLjm1u09AgOk3YyEix3D48GEsX74c0dHRkEqbyne3bt0s1kjSLazXRHcXo1ax+Pzzz/Haa6/p3Bhk5MiRePPNNzFx4kSLhXNUxl7c4eamQVxclXVCEZHo1dbW6i1z1NDQAJnM6AWJ6A401+pLl5wglTZNmWgN6zWRYzFqBBnQv2jPz8/P7GHuBrcvKn87iUQAIKBbtwasW1fJeWtEpNW7d28cOnRIZ9uXX36Jvn372iiR42pZqwWh+QYguqMarNdEjsuoYYepU6fiH//4B6ZOnQqVSoXS0lJ8+umnePLJJ6HRaLT7NX/lR61LSFBoL/LQJfBiDiJq05w5c7B27VocPXoUdXV1WLRoEdzc3BAXF2fraA7HcK2WwMlJgEbTNJ2C9ZrIcRnVIO/YsQMAcOLECZ3tx48fxz//+U/t4/3795sxmmNqbR6bRAKcPFli5TREZE+6dOmCNWvWID8/H6WlpVCpVAgODubghAW0Vqs1Gph8IR4RiZ9RDXJSUpKlczislnPYAgIa4eWlQXm5fuHlxR1EZAyJRIKQkBCEhITYOorDMWbOMWs10d3BqAbZx8fH0jkc0u3rZl68KIOzswbOzgLq62/NP+bFHUTUmvnz5xu139tvv23hJI7t9nrd1BwLaHmtCGs10d3DqAa5pqYGhw8fxm+//Ya6ujqd55YtW2aRYI7A0By2+nopvLwa0bmzoB1V5jw2ImpNTEyM9tf5+fk4duwYHn30Ufj4+ODq1as4cuQIRo4cacOEjoFzjomoJaMa5I0bN0Kj0WDIkCFwcXGxdCaH0doctspKKX76iXPYiKh9ffr00f56586dePXVV6FUKrXbBg4ciNWrV3PJTRNxzjERtWRUg3zu3Dns3LmTa23eoYCARoN3XuIcNiLqCLVaDVdXV51trq6uUKvVNkrkOFiviagloy597tWrFy5evGjpLA4nLq4Kbm4anW2cw8jaUh8AAB1qSURBVEZEHRUREYG1a9fi9OnTKCoqQk5ODtavX4/w8HBbR7N7rNdE1JJRQ8ILFizAmjVrEBwcDC8vL53npkyZYpFgjqB5rlrLVSw4h42IOuovf/kLPvnkE+zYsQNqtRpKpRJDhw7F1KlTbR3N7rFeE1FLRjXIH374IcrKyuDj44Pa2lvFQiLRvxMc6Zo0qZYFlohMptFocPz4cUydOhV//vOfbR3HIbFeE1EzoxrkjIwMbNq0CV26dLF0HiIiMkAqlWL37t0YO3asraMQETk8o+Yg+/n5wcnJ8BW+RERkHeHh4Th16pStYxAROTyjRpBHjBiBdevWYdy4cXpzkPv162eRYEREpKu+vh4bN25EaGgoVCqVzjS3F154wYbJiIgci1EN8pEjRwA0zUVuSSKR8DbURERWEhgYiMDAQFvHICJyeEY1yFu3brV0DiIiagdXqyAisg6b3/mjuroaiYmJuHr1Knx8fLB48WLI5XK9/dLS0pCcnAwAmDRpEkaPHg2gaVQ7PT0d1dXV2LNnj3b/+vp6JCUloaCgAAqFArGxsfD19bXKORERmVtjYyO++eYbnD59GlVVVVAoFOjfvz9GjBhhlps4sRYTEd1i1EV6NTU1eP/99/Hyyy9jwYIFmD9/vvY/Ux06dAj9+/fH5s2b0b9/fxw6dEhvn+rqahw4cACrV6/G6tWrceDAAVRXVwNoumhl9erVeq9JTU1F586dsWXLFowfPx779u0zOSsRkS3U1NRg2bJl2Lt3L5ycnHDvvffCyckJH3zwAZYvX46amhqT34O1mIjoFqMa5HfeeQcXLlzAlClTUF1djTlz5sDb2xvjx483OUBWVhZGjRoFABg1ahSysrL09snOzsaAAQMgl8shl8sxYMAAZGdnAwBCQ0MNLj936tQp7cjG0KFDkZubC0EQTM5LRGRtH3zwATw8PJCUlISFCxdixowZWLhwIbZs2QIPDw988MEHJr8HazER0S1GfS93+vRpJCYmQqFQQCqVYvDgwQgKCsLatWsxYcIEkwJUVlZqi6qXlxcqKyv19lGr1VCpVNrHSqUSarW6zeO2fI2TkxPc3d1RVVUFDw8PvX1TUlKQkpICAEhISIC3t7fePjKZzOB2e8DstsHstmHP2VuTlZWF+Ph4uLq66mx3dXXFs88+i2XLluG5554z6T3spRabg5g/I2LOBjCfqcScT8zZAOvnM6pBFgQB7u7uAJoKck1NDby8vHD58mWj3mTVqlWoqKjQ2z59+nSdxxKJxCZ354uKikJUVJT2cWlpqd4+3t7eBrfbA2a3DWa3DXvJHhAQYPS+NTU1UCqVBp9TqVQ6dzhtiyPUYnMQ82dEzNkA5jOVmPOJORtguXyt1WKjGuQePXogLy8P/fv3R69evfDOO+/A1dUVXbt2NerNly9f3upznp6eKC8vR5cuXVBeXm5wVEGpVCIvL0/7WK1Wo0+fPm2+p1KpRFlZGVQqFRobG1FTUwOFQmFU3o5ITnZDQoICly45ISCgEXFxVbxlKRGZhZ+fH3JzczFgwAC9586cOWP0RW93Qy1uT3KyG/7+d2cUFnZlrSaiVhk1B3nu3Lnw8fEBAMyePRvOzs64fv26WRamj4iIwLFjxwAAx44dw+DBg/X2CQsLQ05ODqqrq1FdXY2cnByEhYW1edzw8HCkpaUBADIzM9G3b1+LjYgkJ7thyRJPXLwogyBIcPGiDEuWeCI52c0i70dEd5cJEyYgKSkJmZmZ0Gg0AACNRoPMzExs27bN5KlugGPU4vY01+rff5ewVhNRmySCja+WqKqqQmJiIkpLS3WWFjp//jy++uorzJs3D0DTldAHDx4E0LS00JgxYwAAe/fuxfHjx7UjH2PHjsWTTz6JmzdvIikpCRcuXIBcLkdsbCz8/PyMynTp0iW9bW0N7Q8Z4ouLF/UH47t1a8DJkyVGvaclif1rk7Ywu20wu+XdyRQLAPj3v/+NTz75BPX19fDw8MC1a9fg7OyMKVOm4PHHHzc5j73UYlOIvVYD4v/8Mp9pxJxPzNkA60+xaLNBLigogEwmwx/+8AcAwLVr1/Dee++hsLAQISEheOaZZ/QuGnEEd9ogd+/eFYKgPyIikQgoKio2e747JfYPfVuY3TaY3fLutEEGgNraWvz666/adZBDQ0O114c4InM3yGKv1YD4P7/MZxox5xNzNsD6DXKbUyzee+89nQs6/vGPf6C4uBiRkZEoLCzE3r17zZvSTgUENN7RdiKijnBzc0NYWBhGjBiBsLAwh26OLYG1moiM1WaDfPHiRfTu3RsAcP36dfz444+IiYnBuHHjsGjRInz//fdWCSl2cXFVcHPT6Gxzc9MgLq7KRomIiOh2rNVEZKw2V7FobGzU3sL03Llz8PLy0g5Fe3t74/r165ZPaAear4DmKhZEROLVXJP//ncvFBaCtZqIWtVmgxwYGIhvv/0Ww4YNw4kTJ9C/f3/tc2q1ml/vtTBpUi2LLBGRyE2aVIvnn+8s6rmWRGR7bU6x+POf/4wdO3Zg9uzZ+OGHHxAdHa19LiMjA/fdd5/FAxIRERERWVObI8i9evXCtm3bUFxcjK5du8LN7dZakYMGDcKwYcMsHpCIiIiIyJravZOem5sbevbsqbe9I0sUERERERGJnVF30iMiIiIiuluwQSYiIiIiaoENMhERERHR/2/v/qOiqvM/jj9nGFCQnzOIRuq6Iqy/csm0xM3SdDu7rKc8rFGskfZDTVHTPaYcXX98zSIrtSPCUiCirGutBnbI0srSMvGIsLj5qxXSdPkh8sthFBiGud8/OM4ZQmH4McyY78dfM3fu3Pu6d2be9zP3fu69VqSBLIQQQgghhBVpILciI8OdBx8MoF+/ewgOdiUjw73tNwkhhOg21nX6wQcDpE4LIbpEm1exuFtlZLizdKkPtbVN/yEuXYKlS30A5IYgQgjhBH5ep4uKNFKnhRBdQvYg38abb3pZiu5NtbVq3nzTy0GJhBBCWJM6LYSwF2kg30ZxsUu7hgshhOheUqeFEPYiDeTbCAxsbNdwIYQQ3UvqtBDCXqSBfBuxsTW4u5ubDXN3NxMbW+OgREIIIaxJnRZC2IucpHcbN0/wePNNL4qLXejfH1599Zqc+CGEEE7i53U6MLCR2NgaqdNCiE6TBnIrIiJqLYXW39+f8nIpukII4Uys67QQQnQV6WIhhBBCCCGEFZWiKIqjQwghhBBCCOEsZA+yjWJjYx0docMku2NIdse4k7OL7uHM3xFnzgaSr7OcOZ8zZ4PuzycNZCGEEEIIIaxIA1kIIYQQQggrLmvWrFnj6BB3ikGDBjk6QodJdseQ7I5xJ2cX3cOZvyPOnA0kX2c5cz5nzgbdm09O0hNCCCGEEMKKdLEQQgghhBDCijSQhRBCCCGEsCJ30rPRBx98wIkTJ1CpVPj4+DBv3jy0Wq2jY9kkPT2d3NxcNBoNffr0Yd68efTq1cvRsWySnZ3N7t27KSoq4o033iAoKMjRkdqUn5/Ptm3bMJvNTJo0ialTpzo6ks0SExPJy8vDx8eHDRs2ODqOzcrLy0lISKC6uhqVSsXkyZMJDw93dCzRzQwGA5s2beLq1av07t2bxYsX4+np2WK8Q4cOkZGRAUBERAQTJkwA4McffyQhIQGj0cj999/P888/j0qlAuCzzz7jwIEDqNVqRo0axbPPPus02QCysrJIT08nJSUFb2/vdmWzZ77ObH/aqqUNDQ1s2bKFH3/8ES8vLxYtWkRAQAAAmZmZfPXVV6jVap5//nlCQ0NtmmZ7dHW+rq5j9lh/AGazmdjYWLRabYcvvWaPbNevXycpKYnLly+jUqmYO3cuISEhHcoHgCJscv36dcvjffv2Ke+9954D07RPfn6+YjKZFEVRlPT0dCU9Pd3BiWx3+fJlpaioSFm9erVSUFDg6DhtamxsVObPn6+UlpYqDQ0NypIlS5TLly87OpbNTp8+rRQWFip//etfHR2lXSorK5XCwkJFURTlxo0bysKFC++o9S66Rnp6upKZmakoiqJkZmbestbV1NQoMTExSk1NTbPHiqIosbGxyg8//KCYzWbl9ddfV/Ly8hRFUZTvv/9eWbt2rWI0GhVFUZTq6mqnyaYoinL16lVl3bp1yty5c5Vr1661O5s983V0+2NLLd2/f79lW3zkyBFl48aNiqI0bTeWLFmiGI1G5cqVK8r8+fOVxsbGLq3P9sjXlXXMHvluysrKUt59910lLi7OqbLFx8crX375paIoitLQ0KAYDIYO5btJuljYyMPDw/K4vr6+2T93Z/fb3/4WFxcXAEJCQqisrHRwItv169ePwMBAR8ewWUFBAX379qVPnz5oNBrGjRtHTk6Oo2PZbNiwYbfca+Ts/Pz8LGc3u7u7c++9995R33PRNXJycnj00UcBePTRR2/528vPz2fkyJF4enri6enJyJEjyc/Pp6qqitraWkJCQlCpVDzyyCOW93/++ec8+eSTuLq6AuDj4+M02QC2b9/O9OnTO7Vdsle+jm5/bKmlJ06csOzBHjt2LKdOnUJRFHJychg3bhyurq4EBATQt29fCgoKurQ+2yNfV9Yxe+QDqKioIC8vj0mTJnUol72y3bhxg7Nnz/LYY48BoNFoOn2kXBrI7bBr1y7mzp3LkSNHePrppx0dp0O++uqrZodKRNeqrKxEp9NZnut0OmmodbOysjIuXLjA4MGDHR1FdLNr167h5+cHgK+vL9euXWsxzs9/o1qtlsrKylZ/uyUlJZw7d47ly5ezevVqS2PBGbLl5OSg1WoZOHBguzN1Rz5r7dn+2DJN63FcXFzw8PCgpqam0zkdlc9aZ+uYvfKlpaXx7LPPdurPmD2ylZWV4e3tTWJiIkuXLiUpKYm6uroOZwTpg9zMa6+9RnV1dYvhzzzzDGPGjCEqKoqoqCgyMzPZv38/kZGRDkh5a21lB8jIyMDFxYXx48d3d7xW2ZJdCFvU1dWxYcMGZs6c2eyoj/jlaK1eWFOpVF12pM9sNmMwGHj99dcpLCxk06ZNbNmypcX0uztbfX09mZmZ/O1vf7NpfEesu5ucdfvjjJy1juXm5uLj48OgQYM4ffq0o+M009jYyIULF3jhhRcIDg5m27Zt7N27t8V3uz2kgWxl5cqVNo03fvx44uLinKqB3Fb2Q4cOkZuby6pVq5yue4it6/1OoNVqqaiosDyvqKi4Y07mvNOZTCY2bNjA+PHjeeihhxwdR9hJa/XCx8eHqqoq/Pz8qKqquuXJalqtljNnzlieV1ZWMmzYsFZ/u1qtlgcffBCVSsXgwYNRq9XU1NS0mH53Z7ty5QplZWW8+uqrluHLli0jLi4OX1/fFtN3xLqDjm1/bKmlN8fR6XQ0NjZy48YNvLy8Wry3srLS8t6uqs/2ytdVdcwe+U6cOMGJEyf497//jdFopLa2ls2bN7Nw4UKHZ9PpdOh0OoKDg4Gmbhl79+5tV66fky4WNiopKbE8zsnJuaP6xebn5/Pxxx+zbNkyevTo4eg4v2hBQUGUlJRQVlaGyWTi6NGjjB492tGxfvEURSEpKYl7772XKVOmODqOcJDRo0dz+PBhAA4fPnzLI1ChoaGcPHkSg8GAwWDg5MmThIaG4ufnh7u7O//9739RFIVvvvnG8tsdM2aMZY9ZcXExJpMJLy8vh2cbMGAAKSkpJCQkkJCQgE6nY/369bdsHDsiH3R8+2NLLX3ggQc4dOgQAMeOHWP48OGoVCpGjx7N0aNHaWhooKysjJKSEgYPHtyl9dke+bqyjtkj31/+8heSkpJISEhg0aJFjBgxot2NY3tl8/X1RafTUVxcDMD3339Pv3792r/irMid9Gz0zjvvUFJSgkqlwt/fn9mzZ98xewYXLFiAyWSynHwVHBzM7NmzHZzKNsePHyc1NRW9Xk+vXr0YOHAgK1ascHSsVuXl5bF9+3bMZjMTJ04kIiLC0ZFs9u6773LmzBlqamrw8fEhMjLSctKDMzt37hyrVq1iwIABlj1UUVFRjBo1ysHJRHeqqalh06ZNlJeXN7tUWWFhIV988QUvv/wy0NQXNjMzE2i6VNnEiRMBKCwsJDExEaPRSGhoKC+88AIqlQqTyURiYiI//fQTGo2G6OhoRowY4RTZrMXExBAXF9ehy7zZK19ntj+3qqUffvghQUFBjB49GqPRyJYtW7hw4QKenp4sWrSIPn36AE1dOr7++mvUajUzZ87k/vvvv+00O6qr83V1HbPH+rvp9OnTZGVldfgyb/bIdvHiRZKSkjCZTAQEBDBv3rxOnXQuDWQhhBBCCCGsSBcLIYQQQgghrEgDWQghhBBCCCvSQBZCCCGEEMKKNJCFEEIIIYSwIg1kIYQQQgghrEgDWdjdv/71LzZv3uzoGLdUXl5OdHQ0ZrO5U9NZs2YNBw8e7KJU9vf++++zZ88eoOlyPTcv4SSE+GWTeuw8vv32W9atW2d5HhkZSWlpqQMTCWtyJz3RadHR0ZbHRqMRjUaDWt3038vZrrccExPDnDlzGDlyJAD+/v6kp6fbfb7/+9//2LlzJ2fOnEFRFIKCgoiKiiIkJMTu8z506BAHDx7ktddeswxzts9FCNE1pB47p7KyMubPn8+uXbtwcXEBmu7KK7fedl7SQBadZl3Qfl7woGmPRXdobGy0FB5nUlpaysqVK3n88ceJiYnBxcWFr7/+mnXr1rFq1SoGDx7s6IhCiF8IqcdCdA1pIItuYTKZ2LJlC8ePH8ff35+YmBiCgoKApnupp6amcvbsWXr27Mmf/vQnwsPDAWhoaGDnzp1kZ2cDEBYWxvTp03F1deX06dPEx8fzhz/8gX379jFy5EgWLFhAbm4uH3zwAVevXqVfv37MmjWLX/3qV8THx1NeXs769etRq9VMmzaNsLCwZv/qDQYDO3bs4OTJkxiNRoYOHcrSpUsxGAxs2bKF8+fPYzab+c1vfsOsWbPQ6XRtLvvu3bsJCQkhKirKMiw8PJyioiJ27tzJ6tWrLcuSlJRkGcd641ZQUMC2bdsoKirCzc2Nhx56iBkzZqDRNP2EIyMjeemll/jkk0/Q6/U8/PDDvPjiixQVFZGcnIzJZCI6OhoXFxfS0tIst6V95plnWuRt7fMoKCggJSWFkpIS3NzcePjhh5kxY0YHvxVCCEe4m+ux0WgkOTmZEydO4Ovry8SJE/n0008ttTcyMpLNmzfTt29fgGa1sq35rlmzhiFDhnD69Gl++uknQkJCWLhwId7e3qxevRqAmTNnArBy5UqKi4tbHN27qaGhgV27dpGdnY3JZGLMmDHMnDkTNzc39Ho9iYmJnDt3DpVKRf/+/VmzZo3lSIHoGrI2RbfIzc1l3LhxpKWlMXr0aFJTUwEwm82sX7+egQMH8t5777Fq1So+/fRT8vPzgaZbSp4/f5633nqLt99+m4KCAj766CPLdKurqzEYDCQmJjJnzhwuXLjA3//+d2bPnk1qaiqTJ0/mrbfeoqGhgQULFuDv78+yZctIT0/nySefbJEzPj6e+vp6NmzYQHJyMlOmTAFAURQmTJhAYmIiiYmJuLm5sXXrVpuW/T//+Q9jx45tMTwsLIyzZ89iNBrbnIZarWbGjBls3bqVdevWcerUKQ4cONBsnLy8POLi4njnnXfIzs7m5MmTlg1SSEgI6enppKWltTqftj6Pbdu2ER4ezvbt24mPjycsLMymdSCEcB53cz3evXs3V65cIT4+nhUrVnD48GGb15st8/3uu++YO3cuKSkpmEwmsrKyAPi///s/ANLS0khPT2+ze93OnTspKSnh7bffZvPmzVRWVlrOG/nkk0/QarWkpKSQnJxMVFRUi9uOi86TBrLoFkOGDGHUqFGo1WoeeeQRLl68CEBhYSF6vZ5p06ah0Wjo06cPkyZN4ujRowAcOXKEP//5z/j4+ODt7c20adP49ttvLdNVqVRERkbi6uqKm5sbX375JZMnTyY4OBi1Ws2ECRPQaDScP3++zYxVVVXk5+cza9YsPD090Wg0DBs2DAAvLy/Gjh1Ljx49cHd3JyIigrNnz9q07DU1Nfj5+bUY7ufnh9lsxmAwtDmNQYMGERISgouLCwEBAUyePJkzZ840G2fq1Kn06tULf39/hg8fblnH7dHW56HRaCgtLUWv19OzZ89u6UMthOhad3M9zs7OJiIiAk9PT/z9/fnjH/9o83qzZb4TJkwgMDAQNzc3wsLCOlSHFUXh4MGDzJgxA09PT8u8vvvuOwBcXFyorq6mvLwcjUbD0KFDpYFsB9LFQnQLHx8fy2M3NzcaGhpobGzk6tWrVFVVWQ47QdNejKFDhwJNh/t69+5tea13795UVlZannt7e+Pm5mZ5Xl5ezuHDh9m/f79lmMlkavae26moqMDT0xNPT88Wr9XX17N9+3by8/O5fv06ALW1tZjN5jYPa3l5eVFVVdVieFVVFSqVCi8vL0pKSlqdRnFxMTt27KCwsBCj0UhjYyODBg1qNo6vr6/lcY8ePairq2t1mrfS1ufx8ssv8+GHH7J48WICAgKYNm0aDzzwQLvnI4RwnLu5HldVVTXriuHv799mlvbMtyvqsF6vp76+ntjYWMswRVEsV/d44okn2L17t+UKGJMnT2bq1Kntno9onTSQhUP5+/sTEBBw28sOabVarl69Sv/+/YGmgqvVai2v//xfs06nIyIigoiIiHZn0el0GAwGrl+/Tq9evZq9lpWVRXFxMW+88Qa+vr5cvHiRpUuXoihKm9O97777OHbsGBMnTmw2PDs7m+DgYFxdXenRowf19fWW18xmM3q93vI8JSWFgQMH8sorr+Du7s6+ffs4duxYu5exLW19Hvfccw+LFi3CbDZz/PhxNm7cyNatW+nZs2eXZxFCdK+7oR77+vpSUVHRbBms/bwWV1dXWxrUnZlve/bwenl54ebmxsaNG5ut35vc3d157rnneO6557h06RJr164lKCiI++67z+Z5iLZJFwvhUIMHD8bd3Z29e/diNBoxm81cunSJgoICAH73u9+RkZGBXq9Hr9ezZ8+eVi+LM2nSJL744gvOnz+PoijU1dWRl5dHbW0t0FQcy8rKbvlePz8/QkNDSUlJwWAwYDKZLN0Y6urqcHNzw8PDA4PBwO7du21exqeeeooffviBXbt2YTAYqK2t5bPPPuPQoUNERkYCEBgYSENDA3l5eZhMJj766CMaGhos06itrcXDw4OePXtSVFTE559/bvP8fX19qaysxGQytTluW5/HN998g16vR61W4+HhASAnhgjxC3E31OOwsDAyMzMxGAxUVFQ027sNMHDgQI4cOYLZbCY/P79ZV7bOzNfb2xuVSsWVK1faHFetVjNp0iTS0tK4du0a0LT3/mZf8NzcXEpLS1EUBQ8PD9RqtXSxsAPZgywcSq1Ws2zZMnbs2EFMTAwmk4nAwECefvppACIiIrhx4wZLliwBYOzYsa3ujQgKCmLOnDmkpqZarrQwZMgQyyHCqVOnkpqayj/+8Q8iIiJanDy3YMEC0tLSWLx4MSaTieHDhzNs2DDCw8PZvHkzL774IlqtlilTppCTk2PTMt5zzz2sXbuWf/7zn8TExFBXV4e7uztLliyxXH7Jw8ODl156iaSkJMxmM0888USzw4DR0dG8//77fPzxx/z6179m3LhxnDp1yqb5jxgxwnKynlqtbvVklrY+j/z8fHbs2EF9fT29e/fmlVdeaXZIVQhx57ob6vFTTz1FcnIy8+fPx8/Pz3IVi5tmzpxJQkICBw4cYMyYMYwZM8byWmfm26NHDyIiIli5ciWNjY0sX7681fGnT5/Onj17WLFiBTU1NWi1Wn7/+98TGhpKSUkJqamp6PV6evXqxeOPP86IESNsyiFsp1JsOTYghOgyFRUVrFixgsjISB577DFHxxFCiLvWrS6xKQRIFwshup1Op2P58uVUVVV16AQOIYQQQtiXdLEQwgEGDBjAgAEDHB1DCCGEELcgXSyEEEIIIYSwIl0shBBCCCGEsCINZCGEEEIIIaxIA1kIIYQQQggr0kAWQgghhBDCijSQhRBCCCGEsPL/WctAHHUwbtEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(log_return, lags=20, title=\"Log Return\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>   <td>-27.023</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                -27.023\n",
       "P-value                         0.000\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(log_return)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>     <td>1.025</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.995</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                  1.025\n",
       "P-value                         0.995\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "price = sp500['price']\n",
    "ADF(price)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>   <td>-27.023</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                -27.023\n",
       "P-value                         0.000\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(log_return)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ADF Testing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 单位根检验(原假设H0：时间序列具有单位根（不平稳）)：\n",
    "# http://www.statsmodels.org/stable/generated/statsmodels.tsa.stattools.adfuller.html?\n",
    "# highlight=adfuller#statsmodels.tsa.stattools.adfuller\n",
    "\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "def DFTest(sales, regression, maxlag , autolag='AIC'):\n",
    "    print(\"ADF - Test Result >>\")\n",
    "    dftest = adfuller(sales,regression=regression, maxlag = maxlag, autolag = autolag)\n",
    "    \n",
    "    dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','P-Value','Lags Used','Nobs'])\n",
    "    \n",
    "    for key, value in dftest[4].items():\n",
    "        dfoutput['Critical Value at %s'% key] = value\n",
    "    print(dfoutput)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF - Test Result >>\n",
      "Test Statistic           -27.022930\n",
      "P-Value                    0.000000\n",
      "Lags Used                  0.000000\n",
      "Nobs                     749.000000\n",
      "Critical Value at 1%      -3.439111\n",
      "Critical Value at 5%      -2.865407\n",
      "Critical Value at 10%     -2.568829\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# regression可以根据模型形式指定为：\n",
    "# ‘c'：仅常数，默认；’ct‘：常数和长期趋势；’ctt’：常数、线性和二次曲线趋势；‘nc’：无常数趋势。\n",
    "\n",
    "DFTest(log_return, regression='c',maxlag=6, autolag='AIC')\n",
    "#对原始数据进行单位根检验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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